188993 has 16 divisors (see below), whose sum is σ = 240000. Its totient is φ = 148176.

The previous prime is 188983. The next prime is 188999. The reversal of 188993 is 399881.

It is not a de Polignac number, because 188993 - 2¹⁶ = 123457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188999) 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 15 ways as a sum of consecutive naturals, for example, 6503 + ... + 6531.

It is an arithmetic number, because the mean of its divisors is an integer number (15000).

2¹⁸⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

188993 is a deficient number, since it is larger than the sum of its proper divisors (51007).

188993 is an equidigital number, since it uses as much as digits as its factorization.

188993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 55 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 188993 is about 434.7332515463. The cubic root of 188993 is about 57.3872269814.

The spelling of 188993 in words is "one hundred eighty-eight thousand, nine hundred ninety-three".