397936 has 80 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 138240.

The previous prime is 397921. The next prime is 397939. The reversal of 397936 is 639793.

It is a junction number, because it is equal to n+sod(n) for n = 397895 and 397904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397939) by changing a digit.

397936 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, 20935 + ... + 20953.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2³⁹⁷⁹³⁶ 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 397936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

397936 is an abundant number, since it is smaller than the sum of its proper divisors (673424).

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

397936 is a wasteful number, since it uses less digits than its factorization.

397936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 56 counting only the distinct ones).

The product of its digits is 30618, while the sum is 37.

The square root of 397936 is about 630.8216863742. The cubic root of 397936 is about 73.5536806855.

The spelling of 397936 in words is "three hundred ninety-seven thousand, nine hundred thirty-six".