191993 has 4 divisors (see below), whose sum is σ = 197220. Its totient is φ = 186768.

The previous prime is 191977. The next prime is 191999. The reversal of 191993 is 399191.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 399191 = 13 ⋅30707.

It can be written as a sum of positive squares in 2 ways, for example, as 162409 + 29584 = 403^2 + 172^2 .

It is a cyclic number.

It is not a de Polignac number, because 191993 - 2⁴ = 191977 is a prime.

It is a super-2 number, since 2×191993² = 73722624098, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (191999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2558 + ... + 2631.

It is an arithmetic number, because the mean of its divisors is an integer number (49305).

2¹⁹¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

191993 is a deficient number, since it is larger than the sum of its proper divisors (5227).

191993 is an equidigital number, since it uses as much as digits as its factorization.

191993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226.

The product of its digits is 2187, while the sum is 32.

The square root of 191993 is about 438.1700583107. The cubic root of 191993 is about 57.6892817102.

The spelling of 191993 in words is "one hundred ninety-one thousand, nine hundred ninety-three".