83784013 has 2 divisors, whose sum is σ = 83784014. Its totient is φ = 83784012.

The previous prime is 83783989. The next prime is 83784023. The reversal of 83784013 is 31048738.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79174404 + 4609609 = 8898^2 + 2147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83784013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83784013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83784023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41892006 + 41892007.

It is an arithmetic number, because the mean of its divisors is an integer number (41892007).

Almost surely, 2^83784013 is an apocalyptic number.

It is an amenable number.

83784013 is a deficient number, since it is larger than the sum of its proper divisors (1).

83784013 is an equidigital number, since it uses as much as digits as its factorization.

83784013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 83784013 is about 9153.3607489271. The cubic root of 83784013 is about 437.5762270445.

The spelling of 83784013 in words is "eighty-three million, seven hundred eighty-four thousand, thirteen".