973658961 has 44 divisors (see below), whose sum is σ = 1594314000. Its totient is φ = 589702680.

The previous prime is 973658947. The next prime is 973659031. The reversal of 973658961 is 169856379.

It is not a de Polignac number, because 973658961 - 2⁵ = 973658929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 973658898 and 973658907.

It is not an unprimeable number, because it can be changed into a prime (973651961) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 648790 + ... + 650288.

Almost surely, 2^973658961 is an apocalyptic number.

It is an amenable number.

973658961 is a deficient number, since it is larger than the sum of its proper divisors (620655039).

973658961 is an equidigital number, since it uses as much as digits as its factorization.

973658961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1513 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 973658961 is about 31203.5087930829. The cubic root of 973658961 is about 991.1414107886.

The spelling of 973658961 in words is "nine hundred seventy-three million, six hundred fifty-eight thousand, nine hundred sixty-one".