417242921 has 2 divisors, whose sum is σ = 417242922. Its totient is φ = 417242920.

The previous prime is 417242899. The next prime is 417242939. The reversal of 417242921 is 129242714.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244609600 + 172633321 = 15640^2 + 13139^2 .

It is a cyclic number.

It is not a de Polignac number, because 417242921 - 2²² = 413048617 is a prime.

It is a super-2 number, since 2×417242921² = 348183310249224482, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (417242971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208621460 + 208621461.

It is an arithmetic number, because the mean of its divisors is an integer number (208621461).

Almost surely, 2^417242921 is an apocalyptic number.

It is an amenable number.

417242921 is a deficient number, since it is larger than the sum of its proper divisors (1).

417242921 is an equidigital number, since it uses as much as digits as its factorization.

417242921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 32.

The square root of 417242921 is about 20426.5249369539. The cubic root of 417242921 is about 747.2449563342.

The spelling of 417242921 in words is "four hundred seventeen million, two hundred forty-two thousand, nine hundred twenty-one".