188013 has 12 divisors (see below), whose sum is σ = 291840. Its totient is φ = 107352.

The previous prime is 188011. The next prime is 188017. The reversal of 188013 is 310881.

It is a happy number.

It is not a de Polignac number, because 188013 - 2¹ = 188011 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188011) 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, 493 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (24320).

2¹⁸⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

188013 is a deficient number, since it is larger than the sum of its proper divisors (103827).

188013 is a wasteful number, since it uses less digits than its factorization.

188013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 188013 is about 433.6046586466. The cubic root of 188013 is about 57.2878635639.

Adding to 188013 its reverse (310881), we get a palindrome (498894).

The spelling of 188013 in words is "one hundred eighty-eight thousand, thirteen".