88113 has 8 divisors (see below), whose sum is σ = 122688. Its totient is φ = 56144.

The previous prime is 88093. The next prime is 88117. The reversal of 88113 is 31188.

It is a happy number.

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 88113 - 2¹² = 84017 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 88113.

It is not an unprimeable number, because it can be changed into a prime (88117) 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, 570 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (15336).

2⁸⁸¹¹³ is an apocalyptic number.

It is an amenable number.

88113 is a deficient number, since it is larger than the sum of its proper divisors (34575).

88113 is a wasteful number, since it uses less digits than its factorization.

88113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303.

The product of its digits is 192, while the sum is 21.

The square root of 88113 is about 296.8383398417. The cubic root of 88113 is about 44.4986322855.

The spelling of 88113 in words is "eighty-eight thousand, one hundred thirteen".