331368 has 16 divisors (see below), whose sum is σ = 828480. Its totient is φ = 110448.

The previous prime is 331367. The next prime is 331369. The reversal of 331368 is 863133.

It is an interprime number because it is at equal distance from previous prime (331367) and next prime (331369).

It is a hoax number, since the sum of its digits (24) 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 (24), and also a Moran number because the ratio is a prime number: 13807 = 331368 / (3 + 3 + 1 + 3 + 6 + 8).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (331367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6880 + ... + 6927.

It is an arithmetic number, because the mean of its divisors is an integer number (51780).

2³³¹³⁶⁸ is an apocalyptic number.

It is an amenable number.

331368 is an abundant number, since it is smaller than the sum of its proper divisors (497112).

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

331368 is a wasteful number, since it uses less digits than its factorization.

331368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13816 (or 13812 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 331368 is about 575.6457243826. The cubic root of 331368 is about 69.1995901387.

The spelling of 331368 in words is "three hundred thirty-one thousand, three hundred sixty-eight".