292842 has 64 divisors (see below), whose sum is σ = 777600. Its totient is φ = 80640.

The previous prime is 292841. The next prime is 292849. The reversal of 292842 is 248292.

292842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 292842.

It is not an unprimeable number, because it can be changed into a prime (292841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10084 + ... + 10112.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2²⁹²⁸⁴² is an apocalyptic number.

292842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 292842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800).

292842 is an abundant number, since it is smaller than the sum of its proper divisors (484758).

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

292842 is a wasteful number, since it uses less digits than its factorization.

292842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 292842 is about 541.1487780639. The cubic root of 292842 is about 66.4065810964.

The spelling of 292842 in words is "two hundred ninety-two thousand, eight hundred forty-two".