414772013 has 2 divisors, whose sum is σ = 414772014. Its totient is φ = 414772012.

The previous prime is 414772003. The next prime is 414772019. The reversal of 414772013 is 310277414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413024329 + 1747684 = 20323^2 + 1322^2 .

It is a cyclic number.

It is not a de Polignac number, because 414772013 - 2⁴ = 414771997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414772019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207386006 + 207386007.

It is an arithmetic number, because the mean of its divisors is an integer number (207386007).

Almost surely, 2^414772013 is an apocalyptic number.

It is an amenable number.

414772013 is a deficient number, since it is larger than the sum of its proper divisors (1).

414772013 is an equidigital number, since it uses as much as digits as its factorization.

414772013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 414772013 is about 20365.9522978917. The cubic root of 414772013 is about 745.7669761450.

The spelling of 414772013 in words is "four hundred fourteen million, seven hundred seventy-two thousand, thirteen".