83658013 has 2 divisors, whose sum is σ = 83658014. Its totient is φ = 83658012.

The previous prime is 83657993. The next prime is 83658031. The reversal of 83658013 is 31085638.

It is a happy number.

Together with next prime (83658031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68773849 + 14884164 = 8293^2 + 3858^2 .

It is a cyclic number.

It is not a de Polignac number, because 83658013 - 2¹³ = 83649821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83658013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83658313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41829006 + 41829007.

It is an arithmetic number, because the mean of its divisors is an integer number (41829007).

Almost surely, 2^83658013 is an apocalyptic number.

It is an amenable number.

83658013 is a deficient number, since it is larger than the sum of its proper divisors (1).

83658013 is an equidigital number, since it uses as much as digits as its factorization.

83658013 is an evil number, because the sum of its binary digits is even.

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

The square root of 83658013 is about 9146.4754413927. The cubic root of 83658013 is about 437.3567648658.

The spelling of 83658013 in words is "eighty-three million, six hundred fifty-eight thousand, thirteen".