13768129 has 2 divisors, whose sum is σ = 13768130. Its totient is φ = 13768128.

The previous prime is 13768109. The next prime is 13768151. The reversal of 13768129 is 92186731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9859600 + 3908529 = 3140^2 + 1977^2 .

It is a cyclic number.

It is not a de Polignac number, because 13768129 - 2⁹ = 13767617 is a prime.

It is a super-2 number, since 2×13768129² = 379122752321282, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 13768129 parts by 5247 straight cuts.

It is not a weakly prime, because it can be changed into another prime (13768109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6884064 + 6884065.

It is an arithmetic number, because the mean of its divisors is an integer number (6884065).

Almost surely, 2^13768129 is an apocalyptic number.

It is an amenable number.

13768129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13768129 is an equidigital number, since it uses as much as digits as its factorization.

13768129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 37.

The square root of 13768129 is about 3710.5429521837. The cubic root of 13768129 is about 239.6762358868.

The spelling of 13768129 in words is "thirteen million, seven hundred sixty-eight thousand, one hundred twenty-nine".