414668101 has 2 divisors, whose sum is σ = 414668102. Its totient is φ = 414668100.

The previous prime is 414668099. The next prime is 414668143. The reversal of 414668101 is 101866414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 389115076 + 25553025 = 19726^2 + 5055^2 .

It is a cyclic number.

It is not a de Polignac number, because 414668101 - 2¹ = 414668099 is a prime.

Together with 414668099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414668161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207334050 + 207334051.

It is an arithmetic number, because the mean of its divisors is an integer number (207334051).

Almost surely, 2^414668101 is an apocalyptic number.

It is an amenable number.

414668101 is a deficient number, since it is larger than the sum of its proper divisors (1).

414668101 is an equidigital number, since it uses as much as digits as its factorization.

414668101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 414668101 is about 20363.4010175118. The cubic root of 414668101 is about 745.7046924422.

The spelling of 414668101 in words is "four hundred fourteen million, six hundred sixty-eight thousand, one hundred one".