85501 has 4 divisors (see below), whose sum is σ = 92092. Its totient is φ = 78912.

The previous prime is 85487. The next prime is 85513. The reversal of 85501 is 10558.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10558 = 2 ⋅5279.

It can be written as a sum of positive squares in 2 ways, for example, as 55225 + 30276 = 235^2 + 174^2 .

It is a cyclic number.

It is not a de Polignac number, because 85501 - 2⁵ = 85469 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3276 + ... + 3301.

It is an arithmetic number, because the mean of its divisors is an integer number (23023).

2⁸⁵⁵⁰¹ is an apocalyptic number.

It is an amenable number.

85501 is a deficient number, since it is larger than the sum of its proper divisors (6591).

85501 is a wasteful number, since it uses less digits than its factorization.

85501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6590.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 85501 is about 292.4055403032. The cubic root of 85501 is about 44.0545123257.

The spelling of 85501 in words is "eighty-five thousand, five hundred one".