392967 has 12 divisors (see below), whose sum is σ = 580320. Its totient is φ = 256128.

The previous prime is 392963. The next prime is 392969. The reversal of 392967 is 769293.

It is not a de Polignac number, because 392967 - 2² = 392963 is a prime.

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 392967.

It is not an unprimeable number, because it can be changed into a prime (392963) by changing a digit.

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, 42 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (48360).

2³⁹²⁹⁶⁷ is an apocalyptic number.

392967 is a deficient number, since it is larger than the sum of its proper divisors (187353).

392967 is a wasteful number, since it uses less digits than its factorization.

392967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 979 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 392967 is about 626.8708000856. The cubic root of 392967 is about 73.2462441822.

The spelling of 392967 in words is "three hundred ninety-two thousand, nine hundred sixty-seven".