165224157 has 48 divisors (see below), whose sum is σ = 267563520. Its totient is φ = 88821216.

The previous prime is 165224123. The next prime is 165224159. The reversal of 165224157 is 751422561.

It is not a de Polignac number, because 165224157 - 2¹⁸ = 164962013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165224159) 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 47 ways as a sum of consecutive naturals, for example, 1188594 + ... + 1188732.

It is an arithmetic number, because the mean of its divisors is an integer number (5574240).

Almost surely, 2^165224157 is an apocalyptic number.

It is an amenable number.

165224157 is a deficient number, since it is larger than the sum of its proper divisors (102339363).

165224157 is a wasteful number, since it uses less digits than its factorization.

165224157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 165224157 is about 12853.9549166784. The cubic root of 165224157 is about 548.7289181628.

The spelling of 165224157 in words is "one hundred sixty-five million, two hundred twenty-four thousand, one hundred fifty-seven".