187972065 has 48 divisors (see below), whose sum is σ = 339296256. Its totient is φ = 96163200.

The previous prime is 187972061. The next prime is 187972067. The reversal of 187972065 is 560279781.

187972065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 187972065 - 2² = 187972061 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 187972065.

It is not an unprimeable number, because it can be changed into a prime (187972061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176635 + ... + 177695.

It is an arithmetic number, because the mean of its divisors is an integer number (7068672).

Almost surely, 2^187972065 is an apocalyptic number.

187972065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

187972065 is a deficient number, since it is larger than the sum of its proper divisors (151324191).

187972065 is a wasteful number, since it uses less digits than its factorization.

187972065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 187972065 is about 13710.2904783232. The cubic root of 187972065 is about 572.8370560867.

The spelling of 187972065 in words is "one hundred eighty-seven million, nine hundred seventy-two thousand, sixty-five".