414721 has 2 divisors, whose sum is σ = 414722. Its totient is φ = 414720.

The previous prime is 414709. The next prime is 414731. The reversal of 414721 is 127414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408321 + 6400 = 639^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 414721 - 2⁹ = 414209 is a prime.

It is a Chen prime.

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 (414731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207360 + 207361.

It is an arithmetic number, because the mean of its divisors is an integer number (207361).

It is a Proth number, since it is equal to 405 ⋅ 2¹⁰ + 1 and 405 < 2¹⁰.

2⁴¹⁴⁷²¹ is an apocalyptic number.

It is an amenable number.

414721 is a deficient number, since it is larger than the sum of its proper divisors (1).

414721 is an equidigital number, since it uses as much as digits as its factorization.

414721 is an evil number, because the sum of its binary digits is even.

The product of its digits is 224, while the sum is 19.

The square root of 414721 is about 643.9883539320. The cubic root of 414721 is about 74.5736400817.

The spelling of 414721 in words is "four hundred fourteen thousand, seven hundred twenty-one", and thus it is an iban number.