656845641 has 9 divisors (see below), whose sum is σ = 948888109. Its totient is φ = 437845836.

The previous prime is 656845627. The next prime is 656845681. The reversal of 656845641 is 146548656.

The square root of 656845641 is 25629.

It is a perfect power (a square), and thus also a powerful number.

656845641 is a `hidden beast` number, since 6 + 5 + 6 + 84 + 564 + 1 = 666.

656845641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 656845641 - 2⁷ = 656845513 is a prime.

It is a super-2 number, since 2×656845641² = 862892392201401762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (656845601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72616 + ... + 81158.

Almost surely, 2^656845641 is an apocalyptic number.

656845641 is the 25629-th square number.

656845641 is the 12815-th centered octagonal number.

It is an amenable number.

656845641 is a deficient number, since it is larger than the sum of its proper divisors (292042468).

656845641 is an frugal number, since it uses more digits than its factorization.

656845641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17092 (or 8546 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The cubic root of 656845641 is about 869.2694977788.

The spelling of 656845641 in words is "six hundred fifty-six million, eight hundred forty-five thousand, six hundred forty-one".