2137625 has 24 divisors (see below), whose sum is σ = 3112200. Its totient is φ = 1461600.

The previous prime is 2137613. The next prime is 2137627. The reversal of 2137625 is 5267312.

It can be written as a sum of positive squares in 4 ways, for example, as 17689 + 2119936 = 133^2 + 1456^2 .

It is not a de Polignac number, because 2137625 - 2¹⁰ = 2136601 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2137594 and 2137603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5951 + ... + 6299.

It is an arithmetic number, because the mean of its divisors is an integer number (129675).

2^2137625 is an apocalyptic number.

2137625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2137625 is a deficient number, since it is larger than the sum of its proper divisors (974575).

2137625 is an equidigital number, since it uses as much as digits as its factorization.

2137625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 2137625 is about 1462.0619001944. The cubic root of 2137625 is about 128.8181842631.

The spelling of 2137625 in words is "two million, one hundred thirty-seven thousand, six hundred twenty-five".