85507 has 4 divisors (see below), whose sum is σ = 87856. Its totient is φ = 83160.

The previous prime is 85487. The next prime is 85513. The reversal of 85507 is 70558.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70558 = 2 ⋅35279.

It is a cyclic number.

It is not a de Polignac number, because 85507 - 2¹¹ = 83459 is a prime.

It is a super-2 number, since 2×85507² = 14622894098, which contains 22 as substring.

It is a Duffinian number.

85507 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (85517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1119 + ... + 1192.

It is an arithmetic number, because the mean of its divisors is an integer number (21964).

2⁸⁵⁵⁰⁷ is an apocalyptic number.

85507 is a deficient number, since it is larger than the sum of its proper divisors (2349).

85507 is a wasteful number, since it uses less digits than its factorization.

85507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 85507 is about 292.4157998467. The cubic root of 85507 is about 44.0555428044.

The spelling of 85507 in words is "eighty-five thousand, five hundred seven".