85901 has 8 divisors (see below), whose sum is σ = 94464. Its totient is φ = 77760.

The previous prime is 85889. The next prime is 85903. The reversal of 85901 is 10958.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85901 - 2⁶ = 85837 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446 + ... + 608.

It is an arithmetic number, because the mean of its divisors is an integer number (11808).

2⁸⁵⁹⁰¹ is an apocalyptic number.

It is an amenable number.

85901 is a deficient number, since it is larger than the sum of its proper divisors (8563).

85901 is a wasteful number, since it uses less digits than its factorization.

85901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 85901 is about 293.0887237681. The cubic root of 85901 is about 44.1231056601.

The spelling of 85901 in words is "eighty-five thousand, nine hundred one".