293172 has 24 divisors (see below), whose sum is σ = 746592. Its totient is φ = 88800.

The previous prime is 293149. The next prime is 293173. The reversal of 293172 is 271392.

293172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 293172.

It is not an unprimeable number, because it can be changed into a prime (293173) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (31108).

2²⁹³¹⁷² is an apocalyptic number.

293172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

293172 is an abundant number, since it is smaller than the sum of its proper divisors (453420).

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

293172 is a wasteful number, since it uses less digits than its factorization.

293172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2237 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 293172 is about 541.4535991200. The cubic root of 293172 is about 66.4315159820.

It can be divided in two parts, 2931 and 72, that added together give a palindrome (3003).

The spelling of 293172 in words is "two hundred ninety-three thousand, one hundred seventy-two".