157527 has 12 divisors (see below), whose sum is σ = 237744. Its totient is φ = 100320.

The previous prime is 157523. The next prime is 157543. The reversal of 157527 is 725751.

It is not a de Polignac number, because 157527 - 2² = 157523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157523) 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 11 ways as a sum of consecutive naturals, for example, 174 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2¹⁵⁷⁵²⁷ is an apocalyptic number.

157527 is a deficient number, since it is larger than the sum of its proper divisors (80217).

157527 is a wasteful number, since it uses less digits than its factorization.

157527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 787 counting only the distinct ones).

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

The square root of 157527 is about 396.8967120045. The cubic root of 157527 is about 54.0072006859.

The spelling of 157527 in words is "one hundred fifty-seven thousand, five hundred twenty-seven".