825 has 12 divisors (see below), whose sum is σ = 1488. Its totient is φ = 400.

The previous prime is 823. The next prime is 827. The reversal of 825 is 528.

It is an interprime number because it is at equal distance from previous prime (823) and next prime (827).

It is not a de Polignac number, because 825 - 2^{1} = 823 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 7, base 9, base 12 and base 16.

It is not an unprimeable number, because it can be changed into a prime (821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70 + ... + 80.

It is an arithmetic number, because the mean of its divisors is an integer number (124).

It is an amenable number.

825 is a deficient number, since it is larger than the sum of its proper divisors (663).

825 is a wasteful number, since it uses less digits than its factorization.

825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 19 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 825 is about 28.7228132327. The cubic root of 825 is about 9.3788872768.

825 divided by its sum of digits (15) gives a palindrome (55).

Multiplying 825 by its reverse (528), we get a square (435600 = 660^{2}).

It can be divided in two parts, 8 and 25, that added together give a palindrome (33).

The spelling of 825 in words is "eight hundred twenty-five", and thus it is an aban number and an oban number.

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