414107 has 2 divisors, whose sum is σ = 414108. Its totient is φ = 414106.

The previous prime is 414101. The next prime is 414109. The reversal of 414107 is 701414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414107 - 2¹⁴ = 397723 is a prime.

Together with 414109, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (414101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207053 + 207054.

It is an arithmetic number, because the mean of its divisors is an integer number (207054).

2⁴¹⁴¹⁰⁷ is an apocalyptic number.

414107 is a deficient number, since it is larger than the sum of its proper divisors (1).

414107 is an equidigital number, since it uses as much as digits as its factorization.

414107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 414107 is about 643.5114606594. The cubic root of 414107 is about 74.5368194800.

The spelling of 414107 in words is "four hundred fourteen thousand, one hundred seven", and thus it is an iban number.