13072971 has 8 divisors (see below), whose sum is σ = 17716624. Its totient is φ = 8572320.

The previous prime is 13072967. The next prime is 13072987. The reversal of 13072971 is 17927031.

13072971 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 13072971 - 2² = 13072967 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13072921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35536 + ... + 35901.

It is an arithmetic number, because the mean of its divisors is an integer number (2214578).

Almost surely, 2^13072971 is an apocalyptic number.

13072971 is a deficient number, since it is larger than the sum of its proper divisors (4643653).

13072971 is an equidigital number, since it uses as much as digits as its factorization.

13072971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71501.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 13072971 is about 3615.6563719469. The cubic root of 13072971 is about 235.5725949447.

It can be divided in two parts, 1307 and 2971, that added together give a triangular number (4278 = T₉₂).

The spelling of 13072971 in words is "thirteen million, seventy-two thousand, nine hundred seventy-one".