414101287 has 2 divisors, whose sum is σ = 414101288. Its totient is φ = 414101286.

The previous prime is 414101239. The next prime is 414101291. The reversal of 414101287 is 782101414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414101287 - 2²⁷ = 279883559 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414101227) 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, 207050643 + 207050644.

It is an arithmetic number, because the mean of its divisors is an integer number (207050644).

Almost surely, 2^414101287 is an apocalyptic number.

414101287 is a deficient number, since it is larger than the sum of its proper divisors (1).

414101287 is an equidigital number, since it uses as much as digits as its factorization.

414101287 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 414101287 is about 20349.4787893941. The cubic root of 414101287 is about 745.3647670967.

The spelling of 414101287 in words is "four hundred fourteen million, one hundred one thousand, two hundred eighty-seven".