312164 has 6 divisors (see below), whose sum is σ = 546294. Its totient is φ = 156080.

The previous prime is 312161. The next prime is 312197. The reversal of 312164 is 461213.

It can be written as a sum of positive squares in only one way, i.e., 209764 + 102400 = 458^2 + 320^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312164.

It is not an unprimeable number, because it can be changed into a prime (312161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39017 + ... + 39024.

It is an arithmetic number, because the mean of its divisors is an integer number (91049).

2³¹²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

312164 is a deficient number, since it is larger than the sum of its proper divisors (234130).

312164 is a wasteful number, since it uses less digits than its factorization.

312164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78045 (or 78043 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 312164 is about 558.7163860135. The cubic root of 312164 is about 67.8361105111.

Adding to 312164 its reverse (461213), we get a palindrome (773377).

It can be divided in two parts, 3 and 12164, that added together give a cube (12167 = 23³).

The spelling of 312164 in words is "three hundred twelve thousand, one hundred sixty-four".