392992 has 12 divisors (see below), whose sum is σ = 773766. Its totient is φ = 196480.

The previous prime is 392983. The next prime is 393007. The reversal of 392992 is 299293.

It can be written as a sum of positive squares in only one way, i.e., 266256 + 126736 = 516^2 + 356^2 .

It is a super-4 number, since 4×392992⁴ (a number of 23 digits) contains 4444 as substring.

It is an unprimeable number.

392992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 6109 + ... + 6172.

2³⁹²⁹⁹² is an apocalyptic number.

392992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

392992 is a deficient number, since it is larger than the sum of its proper divisors (380774).

392992 is a wasteful number, since it uses less digits than its factorization.

392992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12291 (or 12283 counting only the distinct ones).

The product of its digits is 8748, while the sum is 34.

The square root of 392992 is about 626.8907400816. The cubic root of 392992 is about 73.2477974232.

The spelling of 392992 in words is "three hundred ninety-two thousand, nine hundred ninety-two".