165762165321 has 27 divisors (see below), whose sum is σ = 241773186837. Its totient is φ = 109438963200.

The previous prime is 165762165299. The next prime is 165762165469. The reversal of 165762165321 is 123561267561.

The square root of 165762165321 is 407139.

It is a perfect power (a square), and thus also a powerful number.

165762165321 is a `hidden beast` number, since 1 + 6 + 57 + 62 + 1 + 6 + 532 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160796990025 + 4965175296 = 400995^2 + 70464^2 .

It is not a de Polignac number, because 165762165321 - 2²⁷ = 165627947593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165762185321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138019521 + ... + 138020721.

Almost surely, 2^165762165321 is an apocalyptic number.

165762165321 is the 407139-th square number.

165762165321 is the 203570-th centered octagonal number.

It is an amenable number.

165762165321 is a deficient number, since it is larger than the sum of its proper divisors (76011021516).

165762165321 is an frugal number, since it uses more digits than its factorization.

165762165321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 1317 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 165762165321 in words is "one hundred sixty-five billion, seven hundred sixty-two million, one hundred sixty-five thousand, three hundred twenty-one".