397992 has 64 divisors (see below), whose sum is σ = 1198080. Its totient is φ = 107712.

The previous prime is 397981. The next prime is 398011. The reversal of 397992 is 299793.

It is a self number, because there is not a number n which added to its sum of digits gives 397992.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 397992.

It is an unprimeable number.

397992 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3813 + ... + 3915.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2³⁹⁷⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599040).

397992 is an abundant number, since it is smaller than the sum of its proper divisors (800088).

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

397992 is a wasteful number, since it uses less digits than its factorization.

397992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its digits is 30618, while the sum is 39.

The square root of 397992 is about 630.8660713654. The cubic root of 397992 is about 73.5571308323.

The spelling of 397992 in words is "three hundred ninety-seven thousand, nine hundred ninety-two".