386957961 has 48 divisors (see below), whose sum is σ = 640667664. Its totient is φ = 222953472.

The previous prime is 386957947. The next prime is 386957983. The reversal of 386957961 is 169759683.

386957961 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 579 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43560000 + 343397961 = 6600^2 + 18531^2 .

It is not a de Polignac number, because 386957961 - 2⁹ = 386957449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 386957898 and 386957907.

It is not an unprimeable number, because it can be changed into a prime (386957941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510795 + ... + 511551.

It is an arithmetic number, because the mean of its divisors is an integer number (13347243).

Almost surely, 2^386957961 is an apocalyptic number.

It is an amenable number.

386957961 is a deficient number, since it is larger than the sum of its proper divisors (253709703).

386957961 is a wasteful number, since it uses less digits than its factorization.

386957961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1047 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 386957961 is about 19671.2470626547. The cubic root of 386957961 is about 728.7097751286.

It can be divided in two parts, 38695 and 7961, that added together give a 6-th power (46656 = 6⁶).

The spelling of 386957961 in words is "three hundred eighty-six million, nine hundred fifty-seven thousand, nine hundred sixty-one".