97916445 has 80 divisors (see below), whose sum is σ = 197936640. Its totient is φ = 45878400.

The previous prime is 97916437. The next prime is 97916479. The reversal of 97916445 is 54461979.

It is not a de Polignac number, because 97916445 - 2³ = 97916437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 97916445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137751 + ... + 138459.

It is an arithmetic number, because the mean of its divisors is an integer number (2474208).

Almost surely, 2^97916445 is an apocalyptic number.

It is an amenable number.

97916445 is an abundant number, since it is smaller than the sum of its proper divisors (100020195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97916445 is a wasteful number, since it uses less digits than its factorization.

97916445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 759 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 97916445 is about 9895.2738719047. The cubic root of 97916445 is about 460.9125630366.

It can be divided in two parts, 979 and 16445, that added together give a square (17424 = 132²).

The spelling of 97916445 in words is "ninety-seven million, nine hundred sixteen thousand, four hundred forty-five".