10007375 has 16 divisors (see below), whose sum is σ = 14274624. Its totient is φ = 6861600.

The previous prime is 10007359. The next prime is 10007401. The reversal of 10007375 is 57370001.

It is a happy number.

It is not a de Polignac number, because 10007375 - 2⁴ = 10007359 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10007375.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4844 + ... + 6593.

It is an arithmetic number, because the mean of its divisors is an integer number (892164).

Almost surely, 2^10007375 is an apocalyptic number.

10007375 is a deficient number, since it is larger than the sum of its proper divisors (4267249).

10007375 is an equidigital number, since it uses as much as digits as its factorization.

10007375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11459 (or 11449 counting only the distinct ones).

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

The square root of 10007375 is about 3163.4435351370. The cubic root of 10007375 is about 215.4964191745.

Adding to 10007375 its reverse (57370001), we get a palindrome (67377376).

The spelling of 10007375 in words is "ten million, seven thousand, three hundred seventy-five".