332992 has 42 divisors (see below), whose sum is σ = 743204. Its totient is φ = 147840.

The previous prime is 332989. The next prime is 332993. The reversal of 332992 is 299233.

332992 = 84² + 85² + ... + 116².

It is a happy number.

332992 is nontrivially palindromic in base 7.

332992 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 2×332992² = 221767344128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332992.

It is not an unprimeable number, because it can be changed into a prime (332993) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7723 + ... + 7765.

2³³²⁹⁹² is an apocalyptic number.

332992 is a gapful number since it is divisible by the number (32) 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 332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371602).

332992 is an abundant number, since it is smaller than the sum of its proper divisors (410212).

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

332992 is a wasteful number, since it uses less digits than its factorization.

332992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

The square root of 332992 is about 577.0545901386. The cubic root of 332992 is about 69.3124526207.

It can be divided in two parts, 33 and 2992, that added together give a square (3025 = 55²).

The spelling of 332992 in words is "three hundred thirty-two thousand, nine hundred ninety-two".