10006337 has 12 divisors (see below), whose sum is σ = 11272548. Its totient is φ = 8870400.

The previous prime is 10006333. The next prime is 10006349. The reversal of 10006337 is 73360001.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 5909761 = 2024^2 + 2431^2 .

It is not a de Polignac number, because 10006337 - 2² = 10006333 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10006333) 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 in 11 ways as a sum of consecutive naturals, for example, 3953 + ... + 5969.

It is an arithmetic number, because the mean of its divisors is an integer number (939379).

Almost surely, 2^10006337 is an apocalyptic number.

It is an amenable number.

10006337 is a deficient number, since it is larger than the sum of its proper divisors (1266211).

10006337 is a wasteful number, since it uses less digits than its factorization.

10006337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 10006337 is about 3163.2794691586. The cubic root of 10006337 is about 215.4889682357.

Adding to 10006337 its reverse (73360001), we get a palindrome (83366338).

It can be divided in two parts, 1000 and 6337, that added together give a palindrome (7337).

The spelling of 10006337 in words is "ten million, six thousand, three hundred thirty-seven".