83680513 has 12 divisors (see below), whose sum is σ = 97095040. Its totient is φ = 70636176.

The previous prime is 83680489. The next prime is 83680543. The reversal of 83680513 is 31508638.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-83680513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83680543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214923 + ... + 215311.

Almost surely, 2^83680513 is an apocalyptic number.

It is an amenable number.

83680513 is a deficient number, since it is larger than the sum of its proper divisors (13414527).

83680513 is an frugal number, since it uses more digits than its factorization.

83680513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 83680513 is about 9147.7053406852. The cubic root of 83680513 is about 437.3959706943.

The spelling of 83680513 in words is "eighty-three million, six hundred eighty thousand, five hundred thirteen".