13082641 has 12 divisors (see below), whose sum is σ = 15488116. Its totient is φ = 10977120.

The previous prime is 13082623. The next prime is 13082669. The reversal of 13082641 is 14628031.

It can be written as a sum of positive squares in 2 ways, for example, as 8242641 + 4840000 = 2871^2 + 2200^2 .

It is not a de Polignac number, because 13082641 - 2¹¹ = 13080593 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13082611) 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, 2586 + ... + 5731.

Almost surely, 2^13082641 is an apocalyptic number.

13082641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13082641 is a deficient number, since it is larger than the sum of its proper divisors (2405475).

13082641 is a wasteful number, since it uses less digits than its factorization.

13082641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8352 (or 8341 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 13082641 is about 3616.9933646608. The cubic root of 13082641 is about 235.6306645182.

The spelling of 13082641 in words is "thirteen million, eighty-two thousand, six hundred forty-one".