85701 has 24 divisors (see below), whose sum is σ = 147744. Its totient is φ = 43680.

The previous prime is 85691. The next prime is 85703. The reversal of 85701 is 10758.

It is a happy number.

85701 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 85701 - 2⁵ = 85669 is a prime.

It is a super-2 number, since 2×85701² = 14689322802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

85701 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591 + ... + 1643.

It is an arithmetic number, because the mean of its divisors is an integer number (6156).

2⁸⁵⁷⁰¹ is an apocalyptic number.

It is an amenable number.

85701 is a deficient number, since it is larger than the sum of its proper divisors (62043).

85701 is a wasteful number, since it uses less digits than its factorization.

85701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 85701 is about 292.7473313286. The cubic root of 85701 is about 44.0888356722.

The spelling of 85701 in words is "eighty-five thousand, seven hundred one".