414109 has 2 divisors, whose sum is σ = 414110. Its totient is φ = 414108.

The previous prime is 414107. The next prime is 414131. The reversal of 414109 is 901414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 386884 + 27225 = 622^2 + 165^2 .

It is a cyclic number.

It is not a de Polignac number, because 414109 - 2¹ = 414107 is a prime.

Together with 414107, it forms a pair of twin primes.

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

It is a congruent number.

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, 207054 + 207055.

It is an arithmetic number, because the mean of its divisors is an integer number (207055).

2⁴¹⁴¹⁰⁹ is an apocalyptic number.

It is an amenable number.

414109 is a deficient number, since it is larger than the sum of its proper divisors (1).

414109 is an equidigital number, since it uses as much as digits as its factorization.

414109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 414109 is about 643.5130146314. The cubic root of 414109 is about 74.5369394759.

The spelling of 414109 in words is "four hundred fourteen thousand, one hundred nine".