188413 has 8 divisors (see below), whose sum is σ = 199800. Its totient is φ = 177408.

The previous prime is 188407. The next prime is 188417. The reversal of 188413 is 314881.

It can be written as a sum of positive squares in 4 ways, for example, as 13689 + 174724 = 117^2 + 418^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 188413 - 2¹³ = 180221 is a prime.

It is a Duffinian number.

188413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2073 + ... + 2161.

It is an arithmetic number, because the mean of its divisors is an integer number (24975).

2¹⁸⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

188413 is a deficient number, since it is larger than the sum of its proper divisors (11387).

188413 is an equidigital number, since it uses as much as digits as its factorization.

188413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its digits is 768, while the sum is 25.

The square root of 188413 is about 434.0656632354. The cubic root of 188413 is about 57.3284616677.

The spelling of 188413 in words is "one hundred eighty-eight thousand, four hundred thirteen".