13007673 has 48 divisors (see below), whose sum is σ = 23003136. Its totient is φ = 6922080.

The previous prime is 13007663. The next prime is 13007681. The reversal of 13007673 is 37670031.

13007673 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13007673 - 2⁵ = 13007641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13007653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68008 + ... + 68198.

It is an arithmetic number, because the mean of its divisors is an integer number (479232).

Almost surely, 2^13007673 is an apocalyptic number.

It is an amenable number.

13007673 is a deficient number, since it is larger than the sum of its proper divisors (9995463).

13007673 is a wasteful number, since it uses less digits than its factorization.

13007673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 13007673 is about 3606.6151721524. The cubic root of 13007673 is about 235.1797206762.

The spelling of 13007673 in words is "thirteen million, seven thousand, six hundred seventy-three".