414521 has 2 divisors, whose sum is σ = 414522. Its totient is φ = 414520.

The previous prime is 414503. The next prime is 414539. The reversal of 414521 is 125414.

It is a balanced prime because it is at equal distance from previous prime (414503) and next prime (414539).

It can be written as a sum of positive squares in only one way, i.e., 346921 + 67600 = 589^2 + 260^2 .

It is a cyclic number.

It is not a de Polignac number, because 414521 - 2⁶ = 414457 is a prime.

It is a Chen prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 414521.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207260 + 207261.

It is an arithmetic number, because the mean of its divisors is an integer number (207261).

2⁴¹⁴⁵²¹ is an apocalyptic number.

It is an amenable number.

414521 is a deficient number, since it is larger than the sum of its proper divisors (1).

414521 is an equidigital number, since it uses as much as digits as its factorization.

414521 is an evil number, because the sum of its binary digits is even.

The product of its digits is 160, while the sum is 17.

The square root of 414521 is about 643.8330528949. The cubic root of 414521 is about 74.5616503937.

Adding to 414521 its reverse (125414), we get a palindrome (539935).

The spelling of 414521 in words is "four hundred fourteen thousand, five hundred twenty-one".