239292 has 54 divisors (see below), whose sum is σ = 670488. Its totient is φ = 71808.

The previous prime is 239287. The next prime is 239297. The reversal of 239292 is 292932.

It is an interprime number because it is at equal distance from previous prime (239287) and next prime (239297).

It is a super-2 number, since 2×239292² = 114521322528, which contains 22 as substring.

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

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 239292.

It is not an unprimeable number, because it can be changed into a prime (239297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10393 + ... + 10415.

2²³⁹²⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335244).

239292 is an abundant number, since it is smaller than the sum of its proper divisors (431196).

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

239292 is a wasteful number, since it uses less digits than its factorization.

239292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 45 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 239292 is about 489.1748153779. The cubic root of 239292 is about 62.0834810240.

The spelling of 239292 in words is "two hundred thirty-nine thousand, two hundred ninety-two".