314292 has 24 divisors (see below), whose sum is σ = 800352. Its totient is φ = 95200.

The previous prime is 314267. The next prime is 314299. The reversal of 314292 is 292413.

314292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×314292² = 197558922528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314292.

It is not an unprimeable number, because it can be changed into a prime (314299) by changing a digit.

314292 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1059 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (33348).

2³¹⁴²⁹² is an apocalyptic number.

It is an amenable number.

314292 is an abundant number, since it is smaller than the sum of its proper divisors (486060).

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

314292 is a wasteful number, since it uses less digits than its factorization.

314292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2397 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 314292 is about 560.6175166725. The cubic root of 314292 is about 67.9899062296.

It can be divided in two parts, 314 and 292, that added together give a palindrome (606).

The spelling of 314292 in words is "three hundred fourteen thousand, two hundred ninety-two".