13828473 has 6 divisors (see below), whose sum is σ = 19974474. Its totient is φ = 9218976.

The previous prime is 13828459. The next prime is 13828487. The reversal of 13828473 is 37482831.

It is an interprime number because it is at equal distance from previous prime (13828459) and next prime (13828487).

It can be written as a sum of positive squares in only one way, i.e., 9715689 + 4112784 = 3117^2 + 2028^2 .

It is not a de Polignac number, because 13828473 - 2¹⁴ = 13812089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13828673) 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 in 5 ways as a sum of consecutive naturals, for example, 768240 + ... + 768257.

It is an arithmetic number, because the mean of its divisors is an integer number (3329079).

Almost surely, 2^13828473 is an apocalyptic number.

It is an amenable number.

13828473 is a deficient number, since it is larger than the sum of its proper divisors (6146001).

13828473 is a wasteful number, since it uses less digits than its factorization.

13828473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536503 (or 1536500 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13828473 is about 3718.6654864346. The cubic root of 13828473 is about 240.0258826253.

Adding to 13828473 its product of digits (32256), we get a square (13860729 = 3723²).

The spelling of 13828473 in words is "thirteen million, eight hundred twenty-eight thousand, four hundred seventy-three".