242792 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 105600.

The previous prime is 242789. The next prime is 242797. The reversal of 242792 is 297242.

242792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242792.

It is not an unprimeable number, because it can be changed into a prime (242797) 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, 2684 + ... + 2772.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2²⁴²⁷⁹² is an apocalyptic number.

242792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

242792 is an abundant number, since it is smaller than the sum of its proper divisors (275608).

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

242792 is a wasteful number, since it uses less digits than its factorization.

242792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 242792 is about 492.7392819737. The cubic root of 242792 is about 62.3847047763.

The spelling of 242792 in words is "two hundred forty-two thousand, seven hundred ninety-two".