397793 has 12 divisors (see below), whose sum is σ = 459888. Its totient is φ = 341040.

The previous prime is 397763. The next prime is 397799.

397793 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 397793 - 2⁶ = 397729 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 397793.

It is not an unprimeable number, because it can be changed into a prime (397799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9230 + ... + 9272.

It is an arithmetic number, because the mean of its divisors is an integer number (38324).

2³⁹⁷⁷⁹³ is an apocalyptic number.

It is an amenable number.

397793 is a deficient number, since it is larger than the sum of its proper divisors (62095).

397793 is a wasteful number, since it uses less digits than its factorization.

397793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its digits is 35721, while the sum is 38.

The square root of 397793 is about 630.7083319570. The cubic root of 397793 is about 73.5448690202.

It can be divided in two parts, 397 and 793, that multiplied together give a triangular number (314821 = T₇₉₃).

The spelling of 397793 in words is "three hundred ninety-seven thousand, seven hundred ninety-three".