13820269 has 16 divisors (see below), whose sum is σ = 15346800. Its totient is φ = 12429312.

The previous prime is 13820237. The next prime is 13820293. The reversal of 13820269 is 96202831.

13820269 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19044 + 13801225 = 138^2 + 3715^2 .

It is not a de Polignac number, because 13820269 - 2⁵ = 13820237 is a prime.

It is a super-2 number, since 2×13820269² = 381999670464722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13820269.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13820299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142429 + ... + 142525.

It is an arithmetic number, because the mean of its divisors is an integer number (959175).

Almost surely, 2^13820269 is an apocalyptic number.

It is an amenable number.

13820269 is a deficient number, since it is larger than the sum of its proper divisors (1526531).

13820269 is an frugal number, since it uses more digits than its factorization.

13820269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 13820269 is about 3717.5622388872. The cubic root of 13820269 is about 239.9784066221.

The spelling of 13820269 in words is "thirteen million, eight hundred twenty thousand, two hundred sixty-nine".