368312 has 16 divisors (see below), whose sum is σ = 789360. Its totient is φ = 157824.

The previous prime is 368293. The next prime is 368323. The reversal of 368312 is 213863.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

368312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3233 + ... + 3344.

It is an arithmetic number, because the mean of its divisors is an integer number (49335).

2³⁶⁸³¹² is an apocalyptic number.

It is an amenable number.

368312 is an abundant number, since it is smaller than the sum of its proper divisors (421048).

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

368312 is a wasteful number, since it uses less digits than its factorization.

368312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6586 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 368312 is about 606.8871394254. The cubic root of 368312 is about 71.6812037093.

Subtracting from 368312 its reverse (213863), we obtain a square (154449 = 393²).

The spelling of 368312 in words is "three hundred sixty-eight thousand, three hundred twelve".