237625 has 8 divisors (see below), whose sum is σ = 296712. Its totient is φ = 190000.

The previous prime is 237619. The next prime is 237631. The reversal of 237625 is 526732.

It is an interprime number because it is at equal distance from previous prime (237619) and next prime (237631).

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 190969 = 216^2 + 437^2 .

It is not a de Polignac number, because 237625 - 2¹¹ = 235577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 2 + 3¹¹ + 6⁵ + 7⁵ + 2¹⁵ + 5⁵ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 237625.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826 + ... + 1075.

It is an arithmetic number, because the mean of its divisors is an integer number (37089).

2²³⁷⁶²⁵ is an apocalyptic number.

237625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

237625 is a deficient number, since it is larger than the sum of its proper divisors (59087).

237625 is an equidigital number, since it uses as much as digits as its factorization.

237625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1906 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 237625 is about 487.4679476643. The cubic root of 237625 is about 61.9389791578.

It can be divided in two parts, 2376 and 25, that added together give a 4-th power (2401 = 7⁴).

The spelling of 237625 in words is "two hundred thirty-seven thousand, six hundred twenty-five".