2137275 has 72 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 918720.

The previous prime is 2137273. The next prime is 2137279. The reversal of 2137275 is 5727312.

2137275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2137275 - 2¹ = 2137273 is a prime.

Its product of digits (2940) is a multiple of the sum of its prime factors (105).

It is not an unprimeable number, because it can be changed into a prime (2137273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36196 + ... + 36254.

It is an arithmetic number, because the mean of its divisors is an integer number (64480).

2^2137275 is an apocalyptic number.

2137275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2137275 is an abundant number, since it is smaller than the sum of its proper divisors (2505285).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2137275 is a wasteful number, since it uses less digits than its factorization.

2137275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 2137275 is about 1461.9422013199. The cubic root of 2137275 is about 128.8111532785.

The spelling of 2137275 in words is "two million, one hundred thirty-seven thousand, two hundred seventy-five".