71957 has 4 divisors (see below), whose sum is σ = 73536. Its totient is φ = 70380.

The previous prime is 71947. The next prime is 71963. The reversal of 71957 is 75917.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75917 = 89 ⋅853.

It is a cyclic number.

It is not a de Polignac number, because 71957 - 2⁴ = 71941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71957.

It is not an unprimeable number, because it can be changed into a prime (71917) 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 3 ways as a sum of consecutive naturals, for example, 719 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (18384).

2⁷¹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

71957 is a deficient number, since it is larger than the sum of its proper divisors (1579).

71957 is a wasteful number, since it uses less digits than its factorization.

71957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578.

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

The square root of 71957 is about 268.2480195640. The cubic root of 71957 is about 41.5933929966.

The spelling of 71957 in words is "seventy-one thousand, nine hundred fifty-seven".