76113 has 8 divisors (see below), whose sum is σ = 112800. Its totient is φ = 50724.

The previous prime is 76103. The next prime is 76123. The reversal of 76113 is 31167.

It is an interprime number because it is at equal distance from previous prime (76103) and next prime (76123).

It is not a de Polignac number, because 76113 - 2⁵ = 76081 is a prime.

76113 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (76103) 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, 1383 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (14100).

2⁷⁶¹¹³ is an apocalyptic number.

It is an amenable number.

76113 is a deficient number, since it is larger than the sum of its proper divisors (36687).

76113 is a wasteful number, since it uses less digits than its factorization.

76113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2822 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 76113 is about 275.8858459581. The cubic root of 76113 is about 42.3792187827.

The spelling of 76113 in words is "seventy-six thousand, one hundred thirteen".