97892145 has 40 divisors (see below), whose sum is σ = 188989416. Its totient is φ = 48190464.

The previous prime is 97892131. The next prime is 97892147. The reversal of 97892145 is 54129879.

It can be written as a sum of positive squares in 4 ways, for example, as 2712609 + 95179536 = 1647^2 + 9756^2 .

It is not a de Polignac number, because 97892145 - 2¹⁰ = 97891121 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97892145.

It is not an unprimeable number, because it can be changed into a prime (97892147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4032 + ... + 14561.

Almost surely, 2^97892145 is an apocalyptic number.

It is an amenable number.

97892145 is a deficient number, since it is larger than the sum of its proper divisors (91097271).

97892145 is a wasteful number, since it uses less digits than its factorization.

97892145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18623 (or 18614 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 97892145 is about 9894.0459368248. The cubic root of 97892145 is about 460.8744315395.

The spelling of 97892145 in words is "ninety-seven million, eight hundred ninety-two thousand, one hundred forty-five".