871901 has 2 divisors, whose sum is σ = 871902. Its totient is φ = 871900.

The previous prime is 871883. The next prime is 871919. The reversal of 871901 is 109178.

It is a balanced prime because it is at equal distance from previous prime (871883) and next prime (871919).

It can be written as a sum of positive squares in only one way, i.e., 765625 + 106276 = 875^2 + 326^2 .

It is a cyclic number.

It is not a de Polignac number, because 871901 - 2⁶ = 871837 is a prime.

It is a super-2 number, since 2×871901² = 1520422707602, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (871931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 435950 + 435951.

It is an arithmetic number, because the mean of its divisors is an integer number (435951).

2⁸⁷¹⁹⁰¹ is an apocalyptic number.

It is an amenable number.

871901 is a deficient number, since it is larger than the sum of its proper divisors (1).

871901 is an equidigital number, since it uses as much as digits as its factorization.

871901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 871901 is about 933.7563922137. The cubic root of 871901 is about 95.5335079735.

The spelling of 871901 in words is "eight hundred seventy-one thousand, nine hundred one".