13642801 has 2 divisors, whose sum is σ = 13642802. Its totient is φ = 13642800.

The previous prime is 13642787. The next prime is 13642807. The reversal of 13642801 is 10824631.

13642801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9333025 + 4309776 = 3055^2 + 2076^2 .

It is a cyclic number.

It is not a de Polignac number, because 13642801 - 2¹⁵ = 13610033 is a prime.

It is a super-4 number, since 4×13642801⁴ (a number of 30 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (13642807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6821400 + 6821401.

It is an arithmetic number, because the mean of its divisors is an integer number (6821401).

Almost surely, 2^13642801 is an apocalyptic number.

It is an amenable number.

13642801 is a deficient number, since it is larger than the sum of its proper divisors (1).

13642801 is an equidigital number, since it uses as much as digits as its factorization.

13642801 is an odious number, because the sum of its binary digits is odd.

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

The square root of 13642801 is about 3693.6162496935. The cubic root of 13642801 is about 238.9467794641.

The spelling of 13642801 in words is "thirteen million, six hundred forty-two thousand, eight hundred one".