417997 has 2 divisors, whose sum is σ = 417998. Its totient is φ = 417996.

The previous prime is 417983. The next prime is 418007. The reversal of 417997 is 799714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292681 + 125316 = 541^2 + 354^2 .

It is a cyclic number.

It is not a de Polignac number, because 417997 - 2⁷ = 417869 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 (417947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208998 + 208999.

It is an arithmetic number, because the mean of its divisors is an integer number (208999).

2⁴¹⁷⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

417997 is a deficient number, since it is larger than the sum of its proper divisors (1).

417997 is an equidigital number, since it uses as much as digits as its factorization.

417997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15876, while the sum is 37.

The square root of 417997 is about 646.5268749248. The cubic root of 417997 is about 74.7694848218.

The spelling of 417997 in words is "four hundred seventeen thousand, nine hundred ninety-seven".