14292 has 18 divisors (see below), whose sum is σ = 36218. Its totient is φ = 4752.

The previous prime is 14281. The next prime is 14293. The reversal of 14292 is 29241.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 1296 = 114^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×14292² = 408522528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 12.

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 14292.

It is not an unprimeable number, because it can be changed into a prime (14293) by changing a digit.

14292 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 5 ways as a sum of consecutive naturals, for example, 163 + ... + 234.

2¹⁴²⁹² is an apocalyptic number.

14292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14292 is an abundant number, since it is smaller than the sum of its proper divisors (21926).

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

14292 is a wasteful number, since it uses less digits than its factorization.

14292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 14292 is about 119.5491530710. The cubic root of 14292 is about 24.2678332705.

It can be divided in two parts, 1429 and 2, that added together give a triangular number (1431 = T₅₃).

The spelling of 14292 in words is "fourteen thousand, two hundred ninety-two".