432817206817 has 2 divisors, whose sum is σ = 432817206818. Its totient is φ = 432817206816.

The previous prime is 432817206761. The next prime is 432817206841. The reversal of 432817206817 is 718602718234.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 392672676496 + 40144530321 = 626636^2 + 200361^2 .

It is a cyclic number.

It is not a de Polignac number, because 432817206817 - 2²³ = 432808818209 is a prime.

It is not a weakly prime, because it can be changed into another prime (432817206317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 216408603408 + 216408603409.

It is an arithmetic number, because the mean of its divisors is an integer number (216408603409).

Almost surely, 2^432817206817 is an apocalyptic number.

It is an amenable number.

432817206817 is a deficient number, since it is larger than the sum of its proper divisors (1).

432817206817 is an equidigital number, since it uses as much as digits as its factorization.

432817206817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 432817206817 in words is "four hundred thirty-two billion, eight hundred seventeen million, two hundred six thousand, eight hundred seventeen".