165714129 has 27 divisors (see below), whose sum is σ = 278899803. Its totient is φ = 94539312.

The previous prime is 165714077. The next prime is 165714139. The reversal of 165714129 is 921417561.

The square root of 165714129 is 12873.

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

It can be written as a sum of positive squares in only one way, i.e., 540225 + 165173904 = 735^2 + 12852^2 .

It is not a de Polignac number, because 165714129 - 2⁷ = 165714001 is a prime.

It is a super-2 number, since 2×165714129² = 54922345100457282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 165714093 and 165714102.

It is not an unprimeable number, because it can be changed into a prime (165714139) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 270027 + ... + 270639.

Almost surely, 2^165714129 is an apocalyptic number.

165714129 is the 12873-rd square number.

165714129 is the 6437-th centered octagonal number.

It is an amenable number.

165714129 is a deficient number, since it is larger than the sum of its proper divisors (113185674).

165714129 is an frugal number, since it uses more digits than its factorization.

165714129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 623 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The cubic root of 165714129 is about 549.2708011368.

Multiplying 165714129 by its sum of digits (36), we get a square (5965708644 = 77238²).

The spelling of 165714129 in words is "one hundred sixty-five million, seven hundred fourteen thousand, one hundred twenty-nine".