414641 has 2 divisors, whose sum is σ = 414642. Its totient is φ = 414640.

The previous prime is 414629. The next prime is 414643. The reversal of 414641 is 146414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 5041 = 640^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 414641 - 2⁶ = 414577 is a prime.

Together with 414643, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207320 + 207321.

It is an arithmetic number, because the mean of its divisors is an integer number (207321).

2⁴¹⁴⁶⁴¹ is an apocalyptic number.

It is an amenable number.

414641 is a deficient number, since it is larger than the sum of its proper divisors (1).

414641 is an equidigital number, since it uses as much as digits as its factorization.

414641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 20.

The square root of 414641 is about 643.9262380118. The cubic root of 414641 is about 74.5688446692.

It can be divided in two parts, 4 and 14641, that multiplied together give a square (58564 = 242²).

The spelling of 414641 in words is "four hundred fourteen thousand, six hundred forty-one".