395315973 has 48 divisors (see below), whose sum is σ = 657506304. Its totient is φ = 226955520.

The previous prime is 395315959. The next prime is 395315983. The reversal of 395315973 is 379513593.

395315973 is a `hidden beast` number, since 3 + 9 + 53 + 1 + 597 + 3 = 666.

It is not a de Polignac number, because 395315973 - 2⁵ = 395315941 is a prime.

It is a super-3 number, since 3×395315973³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395315953) 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 47 ways as a sum of consecutive naturals, for example, 108540 + ... + 112122.

It is an arithmetic number, because the mean of its divisors is an integer number (13698048).

Almost surely, 2^395315973 is an apocalyptic number.

It is an amenable number.

395315973 is a deficient number, since it is larger than the sum of its proper divisors (262190331).

395315973 is a wasteful number, since it uses less digits than its factorization.

395315973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3663 counting only the distinct ones).

The product of its digits is 382725, while the sum is 45.

The square root of 395315973 is about 19882.5544887975. The cubic root of 395315973 is about 733.9189828340.

The spelling of 395315973 in words is "three hundred ninety-five million, three hundred fifteen thousand, nine hundred seventy-three".