157977 has 8 divisors (see below), whose sum is σ = 234080. Its totient is φ = 105300.

The previous prime is 157951. The next prime is 157991. The reversal of 157977 is 779751.

It is not a de Polignac number, because 157977 - 2⁸ = 157721 is a prime.

It is a Duffinian number.

157977 is a lucky number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (157907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2899 + ... + 2952.

It is an arithmetic number, because the mean of its divisors is an integer number (29260).

2¹⁵⁷⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

157977 is a deficient number, since it is larger than the sum of its proper divisors (76103).

157977 is an equidigital number, since it uses as much as digits as its factorization.

157977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5854 counting only the distinct ones).

The product of its digits is 15435, while the sum is 36.

The square root of 157977 is about 397.4632058443. The cubic root of 157977 is about 54.0585784073.

The spelling of 157977 in words is "one hundred fifty-seven thousand, nine hundred seventy-seven".