157971 has 8 divisors (see below), whose sum is σ = 229824. Its totient is φ = 95720.

The previous prime is 157951. The next prime is 157991. The reversal of 157971 is 179751.

157971 = 74² + 75² + ... + 95².

It is an interprime number because it is at equal distance from previous prime (157951) and next prime (157991).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 157971 - 2⁶ = 157907 is a prime.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (157901) 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, 2361 + ... + 2426.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2¹⁵⁷⁹⁷¹ is an apocalyptic number.

157971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157971 is a deficient number, since it is larger than the sum of its proper divisors (71853).

157971 is a wasteful number, since it uses less digits than its factorization.

157971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801.

The product of its digits is 2205, while the sum is 30.

The square root of 157971 is about 397.4556579041. The cubic root of 157971 is about 54.0578940132.

It can be divided in two parts, 157 and 971, that added together give a triangular number (1128 = T₄₇).

The spelling of 157971 in words is "one hundred fifty-seven thousand, nine hundred seventy-one".