312664 has 48 divisors (see below), whose sum is σ = 718200. Its totient is φ = 126720.

The previous prime is 312643. The next prime is 312673. The reversal of 312664 is 466213.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

312664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16447 + ... + 16465.

2³¹²⁶⁶⁴ is an apocalyptic number.

312664 is a gapful number since it is divisible by the number (34) 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 312664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359100).

312664 is an abundant number, since it is smaller than the sum of its proper divisors (405536).

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

312664 is a wasteful number, since it uses less digits than its factorization.

312664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 312664 is about 559.1636611941. The cubic root of 312664 is about 67.8723093919.

Adding to 312664 its reverse (466213), we get a palindrome (778877).

The spelling of 312664 in words is "three hundred twelve thousand, six hundred sixty-four".