656971 has 8 divisors (see below), whose sum is σ = 757760. Its totient is φ = 557928.

The previous prime is 656959. The next prime is 656977. The reversal of 656971 is 179656.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 656971 - 2⁵ = 656939 is a prime.

It is a super-2 number, since 2×656971² = 863221789682, which contains 22 as substring.

It is a Duffinian number.

656971 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (656977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520 + ... + 1258.

It is an arithmetic number, because the mean of its divisors is an integer number (94720).

2⁶⁵⁶⁹⁷¹ is an apocalyptic number.

656971 is a deficient number, since it is larger than the sum of its proper divisors (100789).

656971 is a wasteful number, since it uses less digits than its factorization.

656971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873.

The product of its digits is 11340, while the sum is 34.

The square root of 656971 is about 810.5374759997. The cubic root of 656971 is about 86.9324794293.

The spelling of 656971 in words is "six hundred fifty-six thousand, nine hundred seventy-one".