871957 has 2 divisors, whose sum is σ = 871958. Its totient is φ = 871956.

The previous prime is 871931. The next prime is 871963. The reversal of 871957 is 759178.

871957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 848241 + 23716 = 921^2 + 154^2 .

It is a cyclic number.

It is not a de Polignac number, because 871957 - 2¹¹ = 869909 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (871987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 435978 + 435979.

It is an arithmetic number, because the mean of its divisors is an integer number (435979).

2⁸⁷¹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

871957 is a deficient number, since it is larger than the sum of its proper divisors (1).

871957 is an equidigital number, since it uses as much as digits as its factorization.

871957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17640, while the sum is 37.

The square root of 871957 is about 933.7863781401. The cubic root of 871957 is about 95.5355532217.

The spelling of 871957 in words is "eight hundred seventy-one thousand, nine hundred fifty-seven".