83664017 has 2 divisors, whose sum is σ = 83664018. Its totient is φ = 83664016.

The previous prime is 83664013. The next prime is 83664047. The reversal of 83664017 is 71046638.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80263681 + 3400336 = 8959^2 + 1844^2 .

It is a cyclic number.

It is not a de Polignac number, because 83664017 - 2² = 83664013 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83664013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41832008 + 41832009.

It is an arithmetic number, because the mean of its divisors is an integer number (41832009).

Almost surely, 2^83664017 is an apocalyptic number.

It is an amenable number.

83664017 is a deficient number, since it is larger than the sum of its proper divisors (1).

83664017 is an equidigital number, since it uses as much as digits as its factorization.

83664017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 83664017 is about 9146.8036493630. The cubic root of 83664017 is about 437.3672274109.

The spelling of 83664017 in words is "eighty-three million, six hundred sixty-four thousand, seventeen".