2165137 has 16 divisors (see below), whose sum is σ = 2518992. Its totient is φ = 1843200.

The previous prime is 2165131. The next prime is 2165143. The reversal of 2165137 is 7315612.

It is an interprime number because it is at equal distance from previous prime (2165131) and next prime (2165143).

It can be written as a sum of positive squares in 8 ways, for example, as 103041 + 2062096 = 321^2 + 1436^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2165137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2165131) 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 15 ways as a sum of consecutive naturals, for example, 21387 + ... + 21487.

It is an arithmetic number, because the mean of its divisors is an integer number (157437).

2^2165137 is an apocalyptic number.

It is an amenable number.

2165137 is a deficient number, since it is larger than the sum of its proper divisors (353855).

2165137 is a wasteful number, since it uses less digits than its factorization.

2165137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its digits is 1260, while the sum is 25.

The square root of 2165137 is about 1471.4404507149. The cubic root of 2165137 is about 129.3684755592.

The spelling of 2165137 in words is "two million, one hundred sixty-five thousand, one hundred thirty-seven".