10005607 has 2 divisors, whose sum is σ = 10005608. Its totient is φ = 10005606.

The previous prime is 10005601. The next prime is 10005623. The reversal of 10005607 is 70650001.

10005607 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10005607 - 2¹¹ = 10003559 is a prime.

It is a super-2 number, since 2×10005607² = 200224342876898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002803 + 5002804.

It is an arithmetic number, because the mean of its divisors is an integer number (5002804).

Almost surely, 2^10005607 is an apocalyptic number.

10005607 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005607 is an equidigital number, since it uses as much as digits as its factorization.

10005607 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 10005607 is about 3163.1640804739. The cubic root of 10005607 is about 215.4837278641.

Adding to 10005607 its reverse (70650001), we get a palindrome (80655608).

The spelling of 10005607 in words is "ten million, five thousand, six hundred seven".