13588961 has 2 divisors, whose sum is σ = 13588962. Its totient is φ = 13588960.

The previous prime is 13588931. The next prime is 13588963. The reversal of 13588961 is 16988531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10144225 + 3444736 = 3185^2 + 1856^2 .

It is a cyclic number.

It is not a de Polignac number, because 13588961 - 2¹⁴ = 13572577 is a prime.

It is a super-2 number, since 2×13588961² = 369319722119042, which contains 22 as substring.

Together with 13588963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13588963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6794480 + 6794481.

It is an arithmetic number, because the mean of its divisors is an integer number (6794481).

Almost surely, 2^13588961 is an apocalyptic number.

It is an amenable number.

13588961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13588961 is an equidigital number, since it uses as much as digits as its factorization.

13588961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 51840, while the sum is 41.

The square root of 13588961 is about 3686.3207945050. The cubic root of 13588961 is about 238.6320382521.

The spelling of 13588961 in words is "thirteen million, five hundred eighty-eight thousand, nine hundred sixty-one".