85013 has 4 divisors (see below), whose sum is σ = 85728. Its totient is φ = 84300.

The previous prime is 85009. The next prime is 85021. The reversal of 85013 is 31058.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 85013 - 2² = 85009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84982 and 85000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85093) 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, 131 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (21432).

2⁸⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

85013 is a deficient number, since it is larger than the sum of its proper divisors (715).

85013 is a wasteful number, since it uses less digits than its factorization.

85013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 85013 is about 291.5698887059. The cubic root of 85013 is about 43.9705381283.

It can be divided in two parts, 8 and 5013, that multiplied together give a palindrome (40104).

The spelling of 85013 in words is "eighty-five thousand, thirteen".