319392 has 36 divisors (see below), whose sum is σ = 909090. Its totient is φ = 106368.

The previous prime is 319391. The next prime is 319399. The reversal of 319392 is 293913.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 1296 = 564^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×319392² = 204022499328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 319392.

It is not an unprimeable number, because it can be changed into a prime (319391) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267 + ... + 842.

2³¹⁹³⁹² is an apocalyptic number.

319392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

319392 is an abundant number, since it is smaller than the sum of its proper divisors (589698).

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

319392 is a wasteful number, since it uses less digits than its factorization.

319392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1114 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 319392 is about 565.1477682872. The cubic root of 319392 is about 68.3556910118.

The spelling of 319392 in words is "three hundred nineteen thousand, three hundred ninety-two".