656361 has 12 divisors (see below), whose sum is σ = 955188. Its totient is φ = 434304.

The previous prime is 656347. The next prime is 656371. The reversal of 656361 is 163656.

656361 is a `hidden beast` number, since 656 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47961 + 608400 = 219^2 + 780^2 .

It is not a de Polignac number, because 656361 - 2⁵ = 656329 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 656361.

It is not an unprimeable number, because it can be changed into a prime (656311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1941 + ... + 2253.

It is an arithmetic number, because the mean of its divisors is an integer number (79599).

2⁶⁵⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

656361 is a deficient number, since it is larger than the sum of its proper divisors (298827).

656361 is a wasteful number, since it uses less digits than its factorization.

656361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 549 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 656361 is about 810.1610950916. The cubic root of 656361 is about 86.9055653883.

The spelling of 656361 in words is "six hundred fifty-six thousand, three hundred sixty-one".