57971 has 4 divisors (see below), whose sum is σ = 60000. Its totient is φ = 55944.

The previous prime is 57947. The next prime is 57973. The reversal of 57971 is 17975.

57971 = T₁₃₆ + T₁₃₇ + ... + T₁₄₁.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29), and also a Moran number because the ratio is a prime number: 1999 = 57971 / (5 + 7 + 9 + 7 + 1).

It is a pancake number, because a pancake can be divided into 57971 parts by 340 straight cuts.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (57973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 971 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (15000).

2⁵⁷⁹⁷¹ is an apocalyptic number.

57971 is a deficient number, since it is larger than the sum of its proper divisors (2029).

57971 is a wasteful number, since it uses less digits than its factorization.

57971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028.

The product of its digits is 2205, while the sum is 29.

The square root of 57971 is about 240.7716760751. The cubic root of 57971 is about 38.7023138697.

The spelling of 57971 in words is "fifty-seven thousand, nine hundred seventy-one".