417094313 has 2 divisors, whose sum is σ = 417094314. Its totient is φ = 417094312.

The previous prime is 417094283. The next prime is 417094361. The reversal of 417094313 is 313490714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 339001744 + 78092569 = 18412^2 + 8837^2 .

It is a cyclic number.

It is not a de Polignac number, because 417094313 - 2¹⁰ = 417093289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_22198415 and since 417094313 and 22198415 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 417094313.

It is not a weakly prime, because it can be changed into another prime (417099313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208547156 + 208547157.

It is an arithmetic number, because the mean of its divisors is an integer number (208547157).

Almost surely, 2^417094313 is an apocalyptic number.

It is an amenable number.

417094313 is a deficient number, since it is larger than the sum of its proper divisors (1).

417094313 is an equidigital number, since it uses as much as digits as its factorization.

417094313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 417094313 is about 20422.8869898455. The cubic root of 417094313 is about 747.1562312301.

The spelling of 417094313 in words is "four hundred seventeen million, ninety-four thousand, three hundred thirteen".