815217093 has 12 divisors (see below), whose sum is σ = 1177783308. Its totient is φ = 543363840.

The previous prime is 815217071. The next prime is 815217113. The reversal of 815217093 is 390712518.

815217093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 167107329 + 648109764 = 12927^2 + 25458^2 .

It is not a de Polignac number, because 815217093 - 2²⁰ = 814168517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815217023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79221 + ... + 88917.

It is an arithmetic number, because the mean of its divisors is an integer number (98148609).

Almost surely, 2^815217093 is an apocalyptic number.

It is an amenable number.

815217093 is a deficient number, since it is larger than the sum of its proper divisors (362566215).

815217093 is a wasteful number, since it uses less digits than its factorization.

815217093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19044 (or 19041 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 815217093 is about 28552.0068121314. The cubic root of 815217093 is about 934.1667939248.

The spelling of 815217093 in words is "eight hundred fifteen million, two hundred seventeen thousand, ninety-three".