968956961 has 16 divisors (see below), whose sum is σ = 1149984000. Its totient is φ = 798802368.

The previous prime is 968956957. The next prime is 968956979. The reversal of 968956961 is 169659869.

It is not a de Polignac number, because 968956961 - 2² = 968956957 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 968956961.

It is not an unprimeable number, because it can be changed into a prime (968956921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44315 + ... + 62463.

It is an arithmetic number, because the mean of its divisors is an integer number (71874000).

Almost surely, 2^968956961 is an apocalyptic number.

It is an amenable number.

968956961 is a deficient number, since it is larger than the sum of its proper divisors (181027039).

968956961 is a wasteful number, since it uses less digits than its factorization.

968956961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18448.

The product of its digits is 6298560, while the sum is 59.

The square root of 968956961 is about 31128.0735189314. The cubic root of 968956961 is about 989.5433601302.

The spelling of 968956961 in words is "nine hundred sixty-eight million, nine hundred fifty-six thousand, nine hundred sixty-one".