13000037 has 8 divisors (see below), whose sum is σ = 13707456. Its totient is φ = 12304512.

The previous prime is 13000027. The next prime is 13000049. The reversal of 13000037 is 73000031.

It is a happy number.

13000037 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13000037 is a prime.

It is a Duffinian number.

13000037 is a modest number, since divided by 37 gives 13 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12999985 and 13000030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000027) 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 7 ways as a sum of consecutive naturals, for example, 683 + ... + 5144.

It is an arithmetic number, because the mean of its divisors is an integer number (1713432).

Almost surely, 2^13000037 is an apocalyptic number.

It is an amenable number.

13000037 is a deficient number, since it is larger than the sum of its proper divisors (707419).

13000037 is an equidigital number, since it uses as much as digits as its factorization.

13000037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947.

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

The square root of 13000037 is about 3605.5564064372. The cubic root of 13000037 is about 235.1336918472.

Adding to 13000037 its reverse (73000031), we get a palindrome (86000068).

The spelling of 13000037 in words is "thirteen million, thirty-seven", and thus it is an aban number and an uban number.