417492121 has 2 divisors, whose sum is σ = 417492122. Its totient is φ = 417492120.

The previous prime is 417492079. The next prime is 417492133. The reversal of 417492121 is 121294714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 373455625 + 44036496 = 19325^2 + 6636^2 .

It is a cyclic number.

It is not a de Polignac number, because 417492121 - 2⁷ = 417491993 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (417492161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208746060 + 208746061.

It is an arithmetic number, because the mean of its divisors is an integer number (208746061).

Almost surely, 2^417492121 is an apocalyptic number.

It is an amenable number.

417492121 is a deficient number, since it is larger than the sum of its proper divisors (1).

417492121 is an equidigital number, since it uses as much as digits as its factorization.

417492121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 31.

The square root of 417492121 is about 20432.6239382024. The cubic root of 417492121 is about 747.3936917381.

The spelling of 417492121 in words is "four hundred seventeen million, four hundred ninety-two thousand, one hundred twenty-one".