83930013 has 24 divisors (see below), whose sum is σ = 131197248. Its totient is φ = 53517024.

The previous prime is 83929991. The next prime is 83930017. The reversal of 83930013 is 31003938.

It is not a de Polignac number, because 83930013 - 2¹⁰ = 83928989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83930017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1920 + ... + 13097.

It is an arithmetic number, because the mean of its divisors is an integer number (5466552).

Almost surely, 2^83930013 is an apocalyptic number.

It is an amenable number.

83930013 is a deficient number, since it is larger than the sum of its proper divisors (47267235).

83930013 is a wasteful number, since it uses less digits than its factorization.

83930013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15055 (or 15043 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 83930013 is about 9161.3324904186. The cubic root of 83930013 is about 437.8302494764.

The spelling of 83930013 in words is "eighty-three million, nine hundred thirty thousand, thirteen".