97980961 has 24 divisors (see below), whose sum is σ = 110473440. Its totient is φ = 86800896.

The previous prime is 97980959. The next prime is 97980977. The reversal of 97980961 is 16908979.

It is not a de Polignac number, because 97980961 - 2¹ = 97980959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97980361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704830 + ... + 704968.

It is an arithmetic number, because the mean of its divisors is an integer number (4603060).

Almost surely, 2^97980961 is an apocalyptic number.

It is an amenable number.

97980961 is a deficient number, since it is larger than the sum of its proper divisors (12492479).

97980961 is a wasteful number, since it uses less digits than its factorization.

97980961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 49.

The square root of 97980961 is about 9898.5332751878. The cubic root of 97980961 is about 461.0137707767.

The spelling of 97980961 in words is "ninety-seven million, nine hundred eighty thousand, nine hundred sixty-one".