112993 has 6 divisors (see below), whose sum is σ = 119634. Its totient is φ = 106704.

The previous prime is 112979. The next prime is 112997. The reversal of 112993 is 399211.

It can be written as a sum of positive squares in only one way, i.e., 61009 + 51984 = 247^2 + 228^2 .

It is not a de Polignac number, because 112993 - 2⁹ = 112481 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112997) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (19939).

2¹¹²⁹⁹³ is an apocalyptic number.

It is an amenable number.

112993 is a deficient number, since it is larger than the sum of its proper divisors (6641).

112993 is an equidigital number, since it uses as much as digits as its factorization.

112993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its digits is 486, while the sum is 25.

The square root of 112993 is about 336.1443142461. The cubic root of 112993 is about 48.3448829580.

It can be divided in two parts, 11 and 2993, that multiplied together give a palindrome (32923).

The spelling of 112993 in words is "one hundred twelve thousand, nine hundred ninety-three".