157725 has 18 divisors (see below), whose sum is σ = 282906. Its totient is φ = 84000.

The previous prime is 157721. The next prime is 157733. The reversal of 157725 is 527751.

It can be written as a sum of positive squares in 3 ways, for example, as 30276 + 127449 = 174^2 + 357^2 .

It is not a de Polignac number, because 157725 - 2² = 157721 is a prime.

It is a Curzon number.

157725 is a lucky number.

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 157725.

It is not an unprimeable number, because it can be changed into a prime (157721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 126 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (15717).

2¹⁵⁷⁷²⁵ is an apocalyptic number.

157725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157725 is a deficient number, since it is larger than the sum of its proper divisors (125181).

157725 is a wasteful number, since it uses less digits than its factorization.

157725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its digits is 2450, while the sum is 27.

The square root of 157725 is about 397.1460688462. The cubic root of 157725 is about 54.0298189218.

The spelling of 157725 in words is "one hundred fifty-seven thousand, seven hundred twenty-five".