83820513 has 16 divisors (see below), whose sum is σ = 129046400. Its totient is φ = 47402496.

The previous prime is 83820511. The next prime is 83820521. The reversal of 83820513 is 31502838.

It is a happy number.

It is not a de Polignac number, because 83820513 - 2¹ = 83820511 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83820511) 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, 18538 + ... + 22611.

It is an arithmetic number, because the mean of its divisors is an integer number (8065400).

Almost surely, 2^83820513 is an apocalyptic number.

It is an amenable number.

83820513 is a deficient number, since it is larger than the sum of its proper divisors (45225887).

83820513 is a wasteful number, since it uses less digits than its factorization.

83820513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41256.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 83820513 is about 9155.3543350326. The cubic root of 83820513 is about 437.6397603009.

The spelling of 83820513 in words is "eighty-three million, eight hundred twenty thousand, five hundred thirteen".