10007337 has 8 divisors (see below), whose sum is σ = 13428736. Its totient is φ = 6628752.

The previous prime is 10007329. The next prime is 10007341. The reversal of 10007337 is 73370001.

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

It is not a de Polignac number, because 10007337 - 2³ = 10007329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10007317) 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 7 ways as a sum of consecutive naturals, for example, 10153 + ... + 11094.

It is an arithmetic number, because the mean of its divisors is an integer number (1678592).

Almost surely, 2^10007337 is an apocalyptic number.

It is an amenable number.

10007337 is a deficient number, since it is larger than the sum of its proper divisors (3421399).

10007337 is a wasteful number, since it uses less digits than its factorization.

10007337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21407.

The product of its (nonzero) digits is 441, while the sum is 21.

The square root of 10007337 is about 3163.4375290181. The cubic root of 10007337 is about 215.4961464132.

Adding to 10007337 its reverse (73370001), we get a palindrome (83377338).

The spelling of 10007337 in words is "ten million, seven thousand, three hundred thirty-seven".