83200013 has 8 divisors (see below), whose sum is σ = 92022168. Its totient is φ = 74723904.

The previous prime is 83200009. The next prime is 83200037. The reversal of 83200013 is 31000238.

It can be written as a sum of positive squares in 4 ways, for example, as 1532644 + 81667369 = 1238^2 + 9037^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83200013 - 2² = 83200009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83199964 and 83200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83200093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86006 + ... + 86967.

It is an arithmetic number, because the mean of its divisors is an integer number (11502771).

Almost surely, 2^83200013 is an apocalyptic number.

It is an amenable number.

83200013 is a deficient number, since it is larger than the sum of its proper divisors (8822155).

83200013 is a wasteful number, since it uses less digits than its factorization.

83200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173023.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 83200013 is about 9121.4041134027. The cubic root of 83200013 is about 436.5571759618.

The spelling of 83200013 in words is "eighty-three million, two hundred thousand, thirteen".