157707 has 24 divisors (see below), whose sum is σ = 262080. Its totient is φ = 93960.

The previous prime is 157679. The next prime is 157721. The reversal of 157707 is 707751.

It is not a de Polignac number, because 157707 - 2⁷ = 157579 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (157747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2644 + ... + 2702.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2¹⁵⁷⁷⁰⁷ is an apocalyptic number.

157707 is a deficient number, since it is larger than the sum of its proper divisors (104373).

157707 is an equidigital number, since it uses as much as digits as its factorization.

157707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1715, while the sum is 27.

The square root of 157707 is about 397.1234065124. The cubic root of 157707 is about 54.0277635010.

The spelling of 157707 in words is "one hundred fifty-seven thousand, seven hundred seven".