968961 has 8 divisors (see below), whose sum is σ = 1476544. Its totient is φ = 553680.

The previous prime is 968959. The next prime is 968963. The reversal of 968961 is 169869.

It is an interprime number because it is at equal distance from previous prime (968959) and next prime (968963).

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

It is not a de Polignac number, because 968961 - 2¹ = 968959 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968961.

It is not an unprimeable number, because it can be changed into a prime (968963) 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, 23050 + ... + 23091.

It is an arithmetic number, because the mean of its divisors is an integer number (184568).

2⁹⁶⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

968961 is a deficient number, since it is larger than the sum of its proper divisors (507583).

968961 is a wasteful number, since it uses less digits than its factorization.

968961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46151.

The product of its digits is 23328, while the sum is 39.

The square root of 968961 is about 984.3581665227. The cubic root of 968961 is about 98.9544735066.

The spelling of 968961 in words is "nine hundred sixty-eight thousand, nine hundred sixty-one".