13764013 has 2 divisors, whose sum is σ = 13764014. Its totient is φ = 13764012.

The previous prime is 13764001. The next prime is 13764043. The reversal of 13764013 is 31046731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13264164 + 499849 = 3642^2 + 707^2 .

It is a cyclic number.

It is not a de Polignac number, because 13764013 - 2²¹ = 11666861 is a prime.

It is a super-3 number, since 3×13764013³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13764043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6882006 + 6882007.

It is an arithmetic number, because the mean of its divisors is an integer number (6882007).

Almost surely, 2^13764013 is an apocalyptic number.

It is an amenable number.

13764013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13764013 is an equidigital number, since it uses as much as digits as its factorization.

13764013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 13764013 is about 3709.9882749141. The cubic root of 13764013 is about 239.6523496659.

The spelling of 13764013 in words is "thirteen million, seven hundred sixty-four thousand, thirteen".