825156 has 18 divisors (see below), whose sum is σ = 2085902. Its totient is φ = 275040.

The previous prime is 825131. The next prime is 825161. The reversal of 825156 is 651528.

It can be written as a sum of positive squares in only one way, i.e., 695556 + 129600 = 834^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

825156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11425 + ... + 11496.

2⁸²⁵¹⁵⁶ is an apocalyptic number.

It is an amenable number.

825156 is an abundant number, since it is smaller than the sum of its proper divisors (1260746).

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

825156 is a wasteful number, since it uses less digits than its factorization.

825156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22931 (or 22926 counting only the distinct ones).

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

The square root of 825156 is about 908.3809773438. The cubic root of 825156 is about 93.7947839368.

The spelling of 825156 in words is "eight hundred twenty-five thousand, one hundred fifty-six".