417983 has 2 divisors, whose sum is σ = 417984. Its totient is φ = 417982.

The previous prime is 417961. The next prime is 417997. The reversal of 417983 is 389714.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 417983 - 2⁸ = 417727 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208991 + 208992.

It is an arithmetic number, because the mean of its divisors is an integer number (208992).

2⁴¹⁷⁹⁸³ is an apocalyptic number.

417983 is a deficient number, since it is larger than the sum of its proper divisors (1).

417983 is an equidigital number, since it uses as much as digits as its factorization.

417983 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 32.

The square root of 417983 is about 646.5160477513. The cubic root of 417983 is about 74.7686500595.

The spelling of 417983 in words is "four hundred seventeen thousand, nine hundred eighty-three".