397768 has 16 divisors (see below), whose sum is σ = 852480. Its totient is φ = 170448.

The previous prime is 397763. The next prime is 397799. The reversal of 397768 is 867793.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 397768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397763) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3496 + ... + 3607.

It is an arithmetic number, because the mean of its divisors is an integer number (53280).

2³⁹⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

397768 is an abundant number, since it is smaller than the sum of its proper divisors (454712).

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

397768 is a wasteful number, since it uses less digits than its factorization.

397768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7112 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 397768 is about 630.6885126590. The cubic root of 397768 is about 73.5433283024.

The spelling of 397768 in words is "three hundred ninety-seven thousand, seven hundred sixty-eight".