113993 has 8 divisors (see below), whose sum is σ = 127776. Its totient is φ = 100800.

The previous prime is 113989. The next prime is 114001. The reversal of 113993 is 399311.

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 113993 - 2² = 113989 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113903) 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, 353 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (15972).

2¹¹³⁹⁹³ is an apocalyptic number.

It is an amenable number.

113993 is a deficient number, since it is larger than the sum of its proper divisors (13783).

113993 is a wasteful number, since it uses less digits than its factorization.

113993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295.

The product of its digits is 729, while the sum is 26.

The square root of 113993 is about 337.6284940582. The cubic root of 113993 is about 48.4870833921.

It can be divided in two parts, 11 and 3993, that added together give a palindrome (4004).

The spelling of 113993 in words is "one hundred thirteen thousand, nine hundred ninety-three".