13872137 has 2 divisors, whose sum is σ = 13872138. Its totient is φ = 13872136.

The previous prime is 13872113. The next prime is 13872169. The reversal of 13872137 is 73127831.

It is an a-pointer prime, because the next prime (13872169) can be obtained adding 13872137 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12823561 + 1048576 = 3581^2 + 1024^2 .

It is a cyclic number.

It is not a de Polignac number, because 13872137 - 2⁶ = 13872073 is a prime.

It is not a weakly prime, because it can be changed into another prime (13872107) 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 as a sum of consecutive naturals, namely, 6936068 + 6936069.

It is an arithmetic number, because the mean of its divisors is an integer number (6936069).

Almost surely, 2^13872137 is an apocalyptic number.

It is an amenable number.

13872137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13872137 is an equidigital number, since it uses as much as digits as its factorization.

13872137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 32.

The square root of 13872137 is about 3724.5317826540. The cubic root of 13872137 is about 240.2782478860.

Adding to 13872137 its reverse (73127831), we get a palindrome (86999968).

The spelling of 13872137 in words is "thirteen million, eight hundred seventy-two thousand, one hundred thirty-seven".