312364 has 12 divisors (see below), whose sum is σ = 588784. Its totient is φ = 144144.

The previous prime is 312353. The next prime is 312371. The reversal of 312364 is 463213.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2952 + ... + 3055.

2³¹²³⁶⁴ is an apocalyptic number.

It is an amenable number.

312364 is a deficient number, since it is larger than the sum of its proper divisors (276420).

312364 is a wasteful number, since it uses less digits than its factorization.

312364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 6022 counting only the distinct ones).

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

The square root of 312364 is about 558.8953390394. The cubic root of 312364 is about 67.8505946986.

Adding to 312364 its reverse (463213), we get a palindrome (775577).

It can be divided in two parts, 312 and 364, that added together give a palindrome (676).

The spelling of 312364 in words is "three hundred twelve thousand, three hundred sixty-four".