114993 has 8 divisors (see below), whose sum is σ = 170400. Its totient is φ = 76644.

The previous prime is 114973. The next prime is 114997. The reversal of 114993 is 399411.

It is not a de Polignac number, because 114993 - 2¹⁰ = 113969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4259 = 114993 / (1 + 1 + 4 + 9 + 9 + 3).

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (114997) 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 7 ways as a sum of consecutive naturals, for example, 2103 + ... + 2156.

It is an arithmetic number, because the mean of its divisors is an integer number (21300).

2¹¹⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

114993 is a deficient number, since it is larger than the sum of its proper divisors (55407).

114993 is an equidigital number, since it uses as much as digits as its factorization.

114993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4262 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 114993 is about 339.1061780623. The cubic root of 114993 is about 48.6284546066.

The spelling of 114993 in words is "one hundred fourteen thousand, nine hundred ninety-three".