10005737 has 8 divisors (see below), whose sum is σ = 11454336. Its totient is φ = 8561952.

The previous prime is 10005731. The next prime is 10005773. The reversal of 10005737 is 73750001.

It is a happy number.

10005737 is digitally balanced in base 2 and base 3, because in such bases 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 not a de Polignac number, because 10005737 - 2¹⁸ = 9743593 is a prime.

It is a super-2 number, since 2×10005737² = 200229545826338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7028 + ... + 8330.

It is an arithmetic number, because the mean of its divisors is an integer number (1431792).

Almost surely, 2^10005737 is an apocalyptic number.

It is an amenable number.

10005737 is a deficient number, since it is larger than the sum of its proper divisors (1448599).

10005737 is a wasteful number, since it uses less digits than its factorization.

10005737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 10005737 is about 3163.1846294518. The cubic root of 10005737 is about 215.4846610996.

Adding to 10005737 its reverse (73750001), we get a palindrome (83755738).

The spelling of 10005737 in words is "ten million, five thousand, seven hundred thirty-seven".