10006537 has 8 divisors (see below), whose sum is σ = 10470600. Its totient is φ = 9550464.

The previous prime is 10006519. The next prime is 10006547. The reversal of 10006537 is 73560001.

It can be written as a sum of positive squares in 4 ways, for example, as 121801 + 9884736 = 349^2 + 3144^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10006537 - 2²³ = 1617929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10006547) 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, 643 + ... + 4519.

It is an arithmetic number, because the mean of its divisors is an integer number (1308825).

Almost surely, 2^10006537 is an apocalyptic number.

It is an amenable number.

10006537 is a deficient number, since it is larger than the sum of its proper divisors (464063).

10006537 is an equidigital number, since it uses as much as digits as its factorization.

10006537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 10006537 is about 3163.3110817623. The cubic root of 10006537 is about 215.4904039095.

Adding to 10006537 its reverse (73560001), we get a palindrome (83566538).

The spelling of 10006537 in words is "ten million, six thousand, five hundred thirty-seven".