397815 has 16 divisors (see below), whose sum is σ = 694656. Its totient is φ = 192800.

The previous prime is 397811. The next prime is 397829. The reversal of 397815 is 518793.

It is not a de Polignac number, because 397815 - 2² = 397811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

397815 is a lucky number.

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 397815.

It is not an unprimeable number, because it can be changed into a prime (397811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (43416).

397815 is a Friedman number, since it can be written as 58*19^3-7, using all its digits and the basic arithmetic operations.

2³⁹⁷⁸¹⁵ is an apocalyptic number.

397815 is a deficient number, since it is larger than the sum of its proper divisors (296841).

397815 is a wasteful number, since it uses less digits than its factorization.

397815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430.

The product of its digits is 7560, while the sum is 33.

The square root of 397815 is about 630.7257724241. The cubic root of 397815 is about 73.5462247984.

It can be divided in two parts, 3978 and 15, that added together give a palindrome (3993).

The spelling of 397815 in words is "three hundred ninety-seven thousand, eight hundred fifteen".