165752973 has 48 divisors (see below), whose sum is σ = 265015296. Its totient is φ = 103284720.

The previous prime is 165752971. The next prime is 165752987. The reversal of 165752973 is 379257561.

165752973 is a `hidden beast` number, since 1 + 6 + 57 + 529 + 73 = 666.

It is not a de Polignac number, because 165752973 - 2¹ = 165752971 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165752971) 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, 262368 + ... + 262998.

It is an arithmetic number, because the mean of its divisors is an integer number (5521152).

Almost surely, 2^165752973 is an apocalyptic number.

It is an amenable number.

165752973 is a deficient number, since it is larger than the sum of its proper divisors (99262323).

165752973 is an equidigital number, since it uses as much as digits as its factorization.

165752973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 165752973 is about 12874.5086508185. The cubic root of 165752973 is about 549.3137148144.

The spelling of 165752973 in words is "one hundred sixty-five million, seven hundred fifty-two thousand, nine hundred seventy-three".