13824337 has 2 divisors, whose sum is σ = 13824338. Its totient is φ = 13824336.

The previous prime is 13824323. The next prime is 13824341. The reversal of 13824337 is 73342831.

13824337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13549761 + 274576 = 3681^2 + 524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13824337 is a prime.

It is a super-2 number, since 2×13824337² = 382224586979138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13824299 and 13824308.

It is not a weakly prime, because it can be changed into another prime (13824367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6912168 + 6912169.

It is an arithmetic number, because the mean of its divisors is an integer number (6912169).

Almost surely, 2^13824337 is an apocalyptic number.

It is an amenable number.

13824337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824337 is an equidigital number, since it uses as much as digits as its factorization.

13824337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12096, while the sum is 31.

The square root of 13824337 is about 3718.1093313672. The cubic root of 13824337 is about 240.0019502156.

It can be divided in two parts, 13824 and 337, that added together give a square (14161 = 119²).

The spelling of 13824337 in words is "thirteen million, eight hundred twenty-four thousand, three hundred thirty-seven".