413941037 has 2 divisors, whose sum is σ = 413941038. Its totient is φ = 413941036.

The previous prime is 413941013. The next prime is 413941039. The reversal of 413941037 is 730149314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 370986121 + 42954916 = 19261^2 + 6554^2 .

It is a cyclic number.

It is not a de Polignac number, because 413941037 - 2¹⁸ = 413678893 is a prime.

It is a super-2 number, since 2×413941037² = 342694364225270738, which contains 22 as substring.

Together with 413941039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 413940994 and 413941012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413941039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206970518 + 206970519.

It is an arithmetic number, because the mean of its divisors is an integer number (206970519).

Almost surely, 2^413941037 is an apocalyptic number.

It is an amenable number.

413941037 is a deficient number, since it is larger than the sum of its proper divisors (1).

413941037 is an equidigital number, since it uses as much as digits as its factorization.

413941037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 413941037 is about 20345.5409611050. The cubic root of 413941037 is about 745.2686069553.

The spelling of 413941037 in words is "four hundred thirteen million, nine hundred forty-one thousand, thirty-seven".