656963 has 8 divisors (see below), whose sum is σ = 702720. Its totient is φ = 612360.

The previous prime is 656959. The next prime is 656977. The reversal of 656963 is 369656.

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

It is a cyclic number.

It is not a de Polignac number, because 656963 - 2² = 656959 is a prime.

It is a d-powerful number, because it can be written as 6 + 5⁷ + 9³ + 6 + 6⁶ + 3¹² .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (656923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1106 + ... + 1592.

It is an arithmetic number, because the mean of its divisors is an integer number (87840).

2⁶⁵⁶⁹⁶³ is an apocalyptic number.

656963 is a deficient number, since it is larger than the sum of its proper divisors (45757).

656963 is a wasteful number, since it uses less digits than its factorization.

656963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577.

The product of its digits is 29160, while the sum is 35.

The square root of 656963 is about 810.5325409877. The cubic root of 656963 is about 86.9321265661.

The spelling of 656963 in words is "six hundred fifty-six thousand, nine hundred sixty-three".