83205797 has 2 divisors, whose sum is σ = 83205798. Its totient is φ = 83205796.

The previous prime is 83205781. The next prime is 83205799. The reversal of 83205797 is 79750238.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76492516 + 6713281 = 8746^2 + 2591^2 .

It is a cyclic number.

It is not a de Polignac number, because 83205797 - 2⁴ = 83205781 is a prime.

Together with 83205799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83205799) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41602898 + 41602899.

It is an arithmetic number, because the mean of its divisors is an integer number (41602899).

Almost surely, 2^83205797 is an apocalyptic number.

It is an amenable number.

83205797 is a deficient number, since it is larger than the sum of its proper divisors (1).

83205797 is an equidigital number, since it uses as much as digits as its factorization.

83205797 is an evil number, because the sum of its binary digits is even.

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

The square root of 83205797 is about 9121.7211643417. The cubic root of 83205797 is about 436.5672920988.

The spelling of 83205797 in words is "eighty-three million, two hundred five thousand, seven hundred ninety-seven".