10007538 has 32 divisors (see below), whose sum is σ = 20921280. Its totient is φ = 3188160.

The previous prime is 10007537. The next prime is 10007539. The reversal of 10007538 is 83570001.

It is an interprime number because it is at equal distance from previous prime (10007537) and next prime (10007539).

It is a super-4 number, since 4×10007538⁴ (a number of 29 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10007533) by changing a digit.

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, 13173 + ... + 13911.

It is an arithmetic number, because the mean of its divisors is an integer number (653790).

Almost surely, 2^10007538 is an apocalyptic number.

10007538 is an abundant number, since it is smaller than the sum of its proper divisors (10913742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10007538 is a wasteful number, since it uses less digits than its factorization.

10007538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10007538 is about 3163.4692980966. The cubic root of 10007538 is about 215.4975891692.

Adding to 10007538 its reverse (83570001), we get a palindrome (93577539).

The spelling of 10007538 in words is "ten million, seven thousand, five hundred thirty-eight".