13006837 has 2 divisors, whose sum is σ = 13006838. Its totient is φ = 13006836.

The previous prime is 13006831. The next prime is 13006843. The reversal of 13006837 is 73860031.

It is a balanced prime because it is at equal distance from previous prime (13006831) and next prime (13006843).

It can be written as a sum of positive squares in only one way, i.e., 12895281 + 111556 = 3591^2 + 334^2 .

It is a cyclic number.

It is not a de Polignac number, because 13006837 - 2⁷ = 13006709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13006831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503418 + 6503419.

It is an arithmetic number, because the mean of its divisors is an integer number (6503419).

Almost surely, 2^13006837 is an apocalyptic number.

It is an amenable number.

13006837 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006837 is an equidigital number, since it uses as much as digits as its factorization.

13006837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13006837 is about 3606.4992721474. The cubic root of 13006837 is about 235.1746822537.

Adding to 13006837 its reverse (73860031), we get a palindrome (86866868).

The spelling of 13006837 in words is "thirteen million, six thousand, eight hundred thirty-seven".