13580991 has 24 divisors (see below), whose sum is σ = 21141120. Its totient is φ = 8373456.

The previous prime is 13580989. The next prime is 13581053. The reversal of 13580991 is 19908531.

It is a happy number.

It is not a de Polignac number, because 13580991 - 2¹ = 13580989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13580921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6430 + ... + 8276.

It is an arithmetic number, because the mean of its divisors is an integer number (880880).

Almost surely, 2^13580991 is an apocalyptic number.

13580991 is a deficient number, since it is larger than the sum of its proper divisors (7560129).

13580991 is a wasteful number, since it uses less digits than its factorization.

13580991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 13580991 is about 3685.2396122912. The cubic root of 13580991 is about 238.5853761296.

The spelling of 13580991 in words is "thirteen million, five hundred eighty thousand, nine hundred ninety-one".