13824738 has 12 divisors (see below), whose sum is σ = 29953638. Its totient is φ = 4608240.

The previous prime is 13824719. The next prime is 13824739. The reversal of 13824738 is 83742831.

It can be written as a sum of positive squares in only one way, i.e., 13816089 + 8649 = 3717^2 + 93^2 .

It is a super-2 number, since 2×13824738² = 382246761537288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13824739) 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 5 ways as a sum of consecutive naturals, for example, 384003 + ... + 384038.

Almost surely, 2^13824738 is an apocalyptic number.

13824738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13824738 is an abundant number, since it is smaller than the sum of its proper divisors (16128900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13824738 is a wasteful number, since it uses less digits than its factorization.

13824738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768049 (or 768046 counting only the distinct ones).

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

The square root of 13824738 is about 3718.1632562328. The cubic root of 13824738 is about 240.0042707573.

The spelling of 13824738 in words is "thirteen million, eight hundred twenty-four thousand, seven hundred thirty-eight".