413681 has 2 divisors, whose sum is σ = 413682. Its totient is φ = 413680.

The previous prime is 413653. The next prime is 413683. The reversal of 413681 is 186314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 34225 = 616^2 + 185^2 .

It is a cyclic number.

It is not a de Polignac number, because 413681 - 2¹⁴ = 397297 is a prime.

It is a super-2 number, since 2×413681² = 342263939522, which contains 22 as substring.

Together with 413683, 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 (413683) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206840 + 206841.

It is an arithmetic number, because the mean of its divisors is an integer number (206841).

2⁴¹³⁶⁸¹ is an apocalyptic number.

It is an amenable number.

413681 is a deficient number, since it is larger than the sum of its proper divisors (1).

413681 is an equidigital number, since it uses as much as digits as its factorization.

413681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 576, while the sum is 23.

The square root of 413681 is about 643.1803790540. The cubic root of 413681 is about 74.5112515475.

Adding to 413681 its reverse (186314), we get a palindrome (599995).

The spelling of 413681 in words is "four hundred thirteen thousand, six hundred eighty-one".