413058097 has 8 divisors (see below), whose sum is σ = 421327656. Its totient is φ = 404806272.

The previous prime is 413058059. The next prime is 413058143. The reversal of 413058097 is 790850314.

It can be written as a sum of positive squares in 4 ways, for example, as 45914176 + 367143921 = 6776^2 + 19161^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413058097 - 2¹⁹ = 412533809 is a prime.

It is a super-2 number, since 2×413058097² = 341233982994522818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413058497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48933 + ... + 56749.

It is an arithmetic number, because the mean of its divisors is an integer number (52665957).

Almost surely, 2^413058097 is an apocalyptic number.

It is an amenable number.

413058097 is a deficient number, since it is larger than the sum of its proper divisors (8269559).

413058097 is an equidigital number, since it uses as much as digits as its factorization.

413058097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 413058097 is about 20323.8307658768. The cubic root of 413058097 is about 744.7383415151.

The spelling of 413058097 in words is "four hundred thirteen million, fifty-eight thousand, ninety-seven".