332856 has 64 divisors (see below), whose sum is σ = 979200. Its totient is φ = 104544.

The previous prime is 332851. The next prime is 332873. The reversal of 332856 is 658233.

332856 = 31³ + 32³ + ... + 38³.

332856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332856² = 221586233472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332851) by changing a digit.

332856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4935 + ... + 5001.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2³³²⁸⁵⁶ is an apocalyptic number.

332856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489600).

332856 is an abundant number, since it is smaller than the sum of its proper divisors (646344).

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

332856 is a wasteful number, since it uses less digits than its factorization.

332856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 332856 is about 576.9367382998. The cubic root of 332856 is about 69.3030151796.

The spelling of 332856 in words is "three hundred thirty-two thousand, eight hundred fifty-six".