85955871 has 16 divisors (see below), whose sum is σ = 117286400. Its totient is φ = 55980288.

The previous prime is 85955851. The next prime is 85955887. The reversal of 85955871 is 17855958.

It is a de Polignac number, because none of the positive numbers 2^k-85955871 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85955871.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85955851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21120 + ... + 24858.

It is an arithmetic number, because the mean of its divisors is an integer number (7330400).

Almost surely, 2^85955871 is an apocalyptic number.

85955871 is a deficient number, since it is larger than the sum of its proper divisors (31330529).

85955871 is a wasteful number, since it uses less digits than its factorization.

85955871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918.

The product of its digits is 504000, while the sum is 48.

The square root of 85955871 is about 9271.2389139748. The cubic root of 85955871 is about 441.3249850228.

The spelling of 85955871 in words is "eighty-five million, nine hundred fifty-five thousand, eight hundred seventy-one".