165157 has 4 divisors (see below), whose sum is σ = 165996. Its totient is φ = 164320.

The previous prime is 165133. The next prime is 165161. The reversal of 165157 is 751561.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 751561 = 809 ⋅929.

It can be written as a sum of positive squares in 2 ways, for example, as 25281 + 139876 = 159^2 + 374^2 .

It is a cyclic number.

It is not a de Polignac number, because 165157 - 2¹¹ = 163109 is a prime.

It is a Duffinian number.

165157 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57 + ... + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (41499).

2¹⁶⁵¹⁵⁷ is an apocalyptic number.

It is an amenable number.

165157 is a deficient number, since it is larger than the sum of its proper divisors (839).

165157 is an equidigital number, since it uses as much as digits as its factorization.

165157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838.

The product of its digits is 1050, while the sum is 25.

The square root of 165157 is about 406.3951279236. The cubic root of 165157 is about 54.8654562648.

The spelling of 165157 in words is "one hundred sixty-five thousand, one hundred fifty-seven".