Search a number
13037 is a prime number

13037 has 2 divisors, whose sum is σ = 13038. Its totient is φ = 13036.

The previous prime is 13033. The next prime is 13043. The reversal of 13037 is 73031.

Adding to 13037 its reverse (73031), we get a palindrome (86068).

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11881 + 1156 = 109^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 13037 - 22 = 13033 is a prime.

13037 is a modest number, since divided by 37 gives 13 as remainder.

It is equal to p1553 and since 13037 and 1553 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 11 and base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13037.

It is not a weakly prime, because it can be changed into another prime (13033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6518 + 6519.

It is an arithmetic number, because the mean of its divisors is an integer number (6519).

213037 is an apocalyptic number.

It is an amenable number.

13037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13037 is an equidigital number, since it uses as much as digits as its factorization.

13037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 13037 is about 114.1796829563. The cubic root of 13037 is about 23.5356332813.

The spelling of 13037 in words is "thirteen thousand, thirty-seven".