2538165 has 32 divisors (see below), whose sum is σ = 4847616. Its totient is φ = 1108800.

The previous prime is 2538157. The next prime is 2538169. The reversal of 2538165 is 5618352.

It is not a de Polignac number, because 2538165 - 2³ = 2538157 is a prime.

2538165 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1890 + ... + 2940.

It is an arithmetic number, because the mean of its divisors is an integer number (151488).

2^2538165 is an apocalyptic number.

It is an amenable number.

2538165 is a deficient number, since it is larger than the sum of its proper divisors (2309451).

2538165 is a wasteful number, since it uses less digits than its factorization.

2538165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089.

The product of its digits is 7200, while the sum is 30.

The square root of 2538165 is about 1593.1619503365. The cubic root of 2538165 is about 136.4080342300.

The spelling of 2538165 in words is "two million, five hundred thirty-eight thousand, one hundred sixty-five".