413004073 has 2 divisors, whose sum is σ = 413004074. Its totient is φ = 413004072.

The previous prime is 413004061. The next prime is 413004079. The reversal of 413004073 is 370400314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294019609 + 118984464 = 17147^2 + 10908^2 .

It is a cyclic number.

It is not a de Polignac number, because 413004073 - 2¹³ = 412995881 is a prime.

It is not a weakly prime, because it can be changed into another prime (413004079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206502036 + 206502037.

It is an arithmetic number, because the mean of its divisors is an integer number (206502037).

Almost surely, 2^413004073 is an apocalyptic number.

It is an amenable number.

413004073 is a deficient number, since it is larger than the sum of its proper divisors (1).

413004073 is an equidigital number, since it uses as much as digits as its factorization.

413004073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 413004073 is about 20322.5016422684. The cubic root of 413004073 is about 744.7058719112.

Adding to 413004073 its reverse (370400314), we get a palindrome (783404387).

The spelling of 413004073 in words is "four hundred thirteen million, four thousand, seventy-three".