331772 has 36 divisors (see below), whose sum is σ = 722064. Its totient is φ = 130560.

The previous prime is 331769. The next prime is 331777. The reversal of 331772 is 277133.

It is a super-2 number, since 2×331772² = 220145319968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331777) 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, 8072 + ... + 8112.

2³³¹⁷⁷² 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 331772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361032).

331772 is an abundant number, since it is smaller than the sum of its proper divisors (390292).

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

331772 is a wasteful number, since it uses less digits than its factorization.

331772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its digits is 882, while the sum is 23.

The square root of 331772 is about 575.9965277673. The cubic root of 331772 is about 69.2277011619.

The spelling of 331772 in words is "three hundred thirty-one thousand, seven hundred seventy-two".