13820365 has 16 divisors (see below), whose sum is σ = 18068400. Its totient is φ = 10086912.

The previous prime is 13820299. The next prime is 13820381. The reversal of 13820365 is 56302831.

It can be written as a sum of positive squares in 8 ways, for example, as 4104676 + 9715689 = 2026^2 + 3117^2 .

It is a cyclic number.

It is not a de Polignac number, because 13820365 - 2⁷ = 13820237 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 4591 + ... + 6979.

It is an arithmetic number, because the mean of its divisors is an integer number (1129275).

Almost surely, 2^13820365 is an apocalyptic number.

It is an amenable number.

13820365 is a deficient number, since it is larger than the sum of its proper divisors (4248035).

13820365 is a wasteful number, since it uses less digits than its factorization.

13820365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 13820365 is about 3717.5751505518. The cubic root of 13820365 is about 239.9789622763.

It can be divided in two parts, 138 and 20365, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 13820365 in words is "thirteen million, eight hundred twenty thousand, three hundred sixty-five".