83507729 has 2 divisors, whose sum is σ = 83507730. Its totient is φ = 83507728.

The previous prime is 83507651. The next prime is 83507731. The reversal of 83507729 is 92770538.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80066704 + 3441025 = 8948^2 + 1855^2 .

It is a cyclic number.

It is not a de Polignac number, because 83507729 - 2¹² = 83503633 is a prime.

Together with 83507731, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83507429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41753864 + 41753865.

It is an arithmetic number, because the mean of its divisors is an integer number (41753865).

Almost surely, 2^83507729 is an apocalyptic number.

It is an amenable number.

83507729 is a deficient number, since it is larger than the sum of its proper divisors (1).

83507729 is an equidigital number, since it uses as much as digits as its factorization.

83507729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 83507729 is about 9138.2563435264. The cubic root of 83507729 is about 437.0947173584.

The spelling of 83507729 in words is "eighty-three million, five hundred seven thousand, seven hundred twenty-nine".