825516 has 36 divisors (see below), whose sum is σ = 2179632. Its totient is φ = 262944.

The previous prime is 825509. The next prime is 825527. The reversal of 825516 is 615528.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 825516.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825516.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330 + ... + 1326.

2⁸²⁵⁵¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089816).

825516 is an abundant number, since it is smaller than the sum of its proper divisors (1354116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825516 is a wasteful number, since it uses less digits than its factorization.

825516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1025 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 825516 is about 908.5791104797. The cubic root of 825516 is about 93.8084222521.

The spelling of 825516 in words is "eight hundred twenty-five thousand, five hundred sixteen".