97972245 has 96 divisors (see below), whose sum is σ = 204472320. Its totient is φ = 42456960.

The previous prime is 97972219. The next prime is 97972253. The reversal of 97972245 is 54227979.

It is not a de Polignac number, because 97972245 - 2¹² = 97968149 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (317520) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 97972245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771372 + ... + 771498.

It is an arithmetic number, because the mean of its divisors is an integer number (2129920).

Almost surely, 2^97972245 is an apocalyptic number.

97972245 is the 5715-th octagonal number.

It is an amenable number.

97972245 is an abundant number, since it is smaller than the sum of its proper divisors (106500075).

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

97972245 is a wasteful number, since it uses less digits than its factorization.

97972245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 252 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 97972245 is about 9898.0929981487. The cubic root of 97972245 is about 461.0001003822. Note that the first 3 decimals are identical.

The spelling of 97972245 in words is "ninety-seven million, nine hundred seventy-two thousand, two hundred forty-five".