13724137 has 12 divisors (see below), whose sum is σ = 16556736. Its totient is φ = 11142360.

The previous prime is 13724131. The next prime is 13724143. The reversal of 13724137 is 73142731.

It is an interprime number because it is at equal distance from previous prime (13724131) and next prime (13724143).

It is not a de Polignac number, because 13724137 - 2¹¹ = 13722089 is a prime.

It is a super-3 number, since 3×13724137³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13724131) 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 11 ways as a sum of consecutive naturals, for example, 189 + ... + 5242.

It is an arithmetic number, because the mean of its divisors is an integer number (1379728).

Almost surely, 2^13724137 is an apocalyptic number.

It is an amenable number.

13724137 is a deficient number, since it is larger than the sum of its proper divisors (2832599).

13724137 is an equidigital number, since it uses as much as digits as its factorization.

13724137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5457 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 13724137 is about 3704.6102359088. The cubic root of 13724137 is about 239.4206919211.

Adding to 13724137 its reverse (73142731), we get a palindrome (86866868).

It can be divided in two parts, 13724 and 137, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 13724137 in words is "thirteen million, seven hundred twenty-four thousand, one hundred thirty-seven".