157625 has 16 divisors (see below), whose sum is σ = 214032. Its totient is φ = 115200.

The previous prime is 157579. The next prime is 157627. The reversal of 157625 is 526751.

157625 = 65² + 66² + ... + 90².

It can be written as a sum of positive squares in 8 ways, for example, as 85264 + 72361 = 292^2 + 269^2 .

It is not a de Polignac number, because 157625 - 2⁶ = 157561 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 157594 and 157603.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 157625.

It is not an unprimeable number, because it can be changed into a prime (157627) 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 15 ways as a sum of consecutive naturals, for example, 1577 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2¹⁵⁷⁶²⁵ is an apocalyptic number.

It is an amenable number.

157625 is a deficient number, since it is larger than the sum of its proper divisors (56407).

157625 is an equidigital number, since it uses as much as digits as its factorization.

157625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its digits is 2100, while the sum is 26.

The square root of 157625 is about 397.0201506221. The cubic root of 157625 is about 54.0183979377.

The spelling of 157625 in words is "one hundred fifty-seven thousand, six hundred twenty-five".