392882 has 24 divisors (see below), whose sum is σ = 725040. Its totient is φ = 158760.

The previous prime is 392879. The next prime is 392893. The reversal of 392882 is 288293.

It is a happy number.

It is a d-powerful number, because it can be written as 3¹⁰ + 9 + 8⁴ + 2¹¹ + 8⁶ + 2¹⁶ .

392882 is a modest number, since divided by 882 gives 392 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1757 + ... + 1967.

It is an arithmetic number, because the mean of its divisors is an integer number (30210).

2³⁹²⁸⁸² is an apocalyptic number.

392882 is a deficient number, since it is larger than the sum of its proper divisors (332158).

392882 is a wasteful number, since it uses less digits than its factorization.

392882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 392882 is about 626.8029993547. The cubic root of 392882 is about 73.2409626703.

It can be divided in two parts, 392 and 882, that multiplied together give a square (345744 = 588²).

The spelling of 392882 in words is "three hundred ninety-two thousand, eight hundred eighty-two".