185013 has 12 divisors (see below), whose sum is σ = 272428. Its totient is φ = 120960.

The previous prime is 184999. The next prime is 185021. The reversal of 185013 is 310581.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 161604 = 153^2 + 402^2 .

It is not a de Polignac number, because 185013 - 2⁴ = 184997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381 + ... + 717.

2¹⁸⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

185013 is a deficient number, since it is larger than the sum of its proper divisors (87415).

185013 is a wasteful number, since it uses less digits than its factorization.

185013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 185013 is about 430.1313752797. The cubic root of 185013 is about 56.9815267930.

Adding to 185013 its reverse (310581), we get a palindrome (495594).

The spelling of 185013 in words is "one hundred eighty-five thousand, thirteen".