392742 has 32 divisors (see below), whose sum is σ = 998400. Its totient is φ = 112104.

The previous prime is 392741. The next prime is 392759. The reversal of 392742 is 247293.

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

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 392742.

It is not an unprimeable number, because it can be changed into a prime (392741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (31200).

2³⁹²⁷⁴² is an apocalyptic number.

392742 is an abundant number, since it is smaller than the sum of its proper divisors (605658).

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

392742 is a wasteful number, since it uses less digits than its factorization.

392742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1051 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 392742 is about 626.6913115721. The cubic root of 392742 is about 73.2322620486.

It can be divided in two parts, 3927 and 42, that added together give a square (3969 = 63²).

The spelling of 392742 in words is "three hundred ninety-two thousand, seven hundred forty-two".