961577685 has 48 divisors (see below), whose sum is σ = 1729728000. Its totient is φ = 493637760.

The previous prime is 961577663. The next prime is 961577699. The reversal of 961577685 is 586775169.

961577685 is a `hidden beast` number, since 9 + 6 + 1 + 577 + 68 + 5 = 666.

It is not a de Polignac number, because 961577685 - 2⁷ = 961577557 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273066 + ... + 276564.

It is an arithmetic number, because the mean of its divisors is an integer number (36036000).

Almost surely, 2^961577685 is an apocalyptic number.

It is an amenable number.

961577685 is a deficient number, since it is larger than the sum of its proper divisors (768150315).

961577685 is a wasteful number, since it uses less digits than its factorization.

961577685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3735 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 961577685 is about 31009.3161001658. The cubic root of 961577685 is about 987.0249375480.

The spelling of 961577685 in words is "nine hundred sixty-one million, five hundred seventy-seven thousand, six hundred eighty-five".