331664 has 20 divisors (see below), whose sum is σ = 677040. Its totient is φ = 156960.

The previous prime is 331663. The next prime is 331691. The reversal of 331664 is 466133.

It is a super-2 number, since 2×331664² = 220002017792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (331663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2³³¹⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

331664 is an abundant number, since it is smaller than the sum of its proper divisors (345376).

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

331664 is a wasteful number, since it uses less digits than its factorization.

331664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 331664 is about 575.9027695714. The cubic root of 331664 is about 69.2201885698.

Adding to 331664 its reverse (466133), we get a palindrome (797797).

The spelling of 331664 in words is "three hundred thirty-one thousand, six hundred sixty-four".