12993305 has 32 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 9031680.

The previous prime is 12993301. The next prime is 12993311. The reversal of 12993305 is 50339921.

It can be written as a sum of positive squares in 16 ways, for example, as 11888704 + 1104601 = 3448^2 + 1051^2 .

It is not a de Polignac number, because 12993305 - 2² = 12993301 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (12993301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114929 + ... + 115041.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 2^12993305 is an apocalyptic number.

It is an amenable number.

12993305 is a deficient number, since it is larger than the sum of its proper divisors (4818055).

12993305 is a wasteful number, since it uses less digits than its factorization.

12993305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221.

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 12993305 is about 3604.6227264445. The cubic root of 12993305 is about 235.0930972620.

The spelling of 12993305 in words is "twelve million, nine hundred ninety-three thousand, three hundred five".