13002705 has 48 divisors (see below), whose sum is σ = 24935040. Its totient is φ = 6234624.

The previous prime is 13002677. The next prime is 13002709. The reversal of 13002705 is 50720031.

It is not a de Polignac number, because 13002705 - 2⁹ = 13002193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13002709) 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 47 ways as a sum of consecutive naturals, for example, 17226 + ... + 17964.

It is an arithmetic number, because the mean of its divisors is an integer number (519480).

Almost surely, 2^13002705 is an apocalyptic number.

13002705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13002705 is a deficient number, since it is larger than the sum of its proper divisors (11932335).

13002705 is a wasteful number, since it uses less digits than its factorization.

13002705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 13002705 is about 3605.9263719605. The cubic root of 13002705 is about 235.1497762573.

Adding to 13002705 its reverse (50720031), we get a palindrome (63722736).

It can be divided in two parts, 1300 and 2705, that added together give a triangular number (4005 = T₈₉).

The spelling of 13002705 in words is "thirteen million, two thousand, seven hundred five".