83180993 has 16 divisors (see below), whose sum is σ = 100439040. Its totient is φ = 67294800.

The previous prime is 83180989. The next prime is 83181013. The reversal of 83180993 is 39908138.

It is a cyclic number.

It is not a de Polignac number, because 83180993 - 2² = 83180989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83180993.

It is not an unprimeable number, because it can be changed into a prime (83180953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40358 + ... + 42368.

It is an arithmetic number, because the mean of its divisors is an integer number (6277440).

Almost surely, 2^83180993 is an apocalyptic number.

It is an amenable number.

83180993 is a deficient number, since it is larger than the sum of its proper divisors (17258047).

83180993 is a wasteful number, since it uses less digits than its factorization.

83180993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348.

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 83180993 is about 9120.3614511707. The cubic root of 83180993 is about 436.5239069354.

The spelling of 83180993 in words is "eighty-three million, one hundred eighty thousand, nine hundred ninety-three".