331264 has 20 divisors (see below), whose sum is σ = 662904. Its totient is φ = 165376.

The previous prime is 331259. The next prime is 331277. The reversal of 331264 is 462133.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 189 + ... + 835.

2³³¹²⁶⁴ 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 331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331452).

331264 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

331264 is an frugal number, since it uses more digits than its factorization.

331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 649 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 331264 is about 575.5553839554. Note that the first 3 decimals coincide. The cubic root of 331264 is about 69.1923499401.

Adding to 331264 its reverse (462133), we get a palindrome (793397).

It can be divided in two parts, 331 and 264, that added together give a palindrome (595).

The spelling of 331264 in words is "three hundred thirty-one thousand, two hundred sixty-four".