10007084 has 12 divisors (see below), whose sum is σ = 18542664. Its totient is φ = 4709184.

The previous prime is 10007083. The next prime is 10007087. The reversal of 10007084 is 48070001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10007083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73514 + ... + 73649.

It is an arithmetic number, because the mean of its divisors is an integer number (1545222).

Almost surely, 2^10007084 is an apocalyptic number.

It is an amenable number.

10007084 is a deficient number, since it is larger than the sum of its proper divisors (8535580).

10007084 is a wasteful number, since it uses less digits than its factorization.

10007084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147184 (or 147182 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 10007084 is about 3163.3975406199. The cubic root of 10007084 is about 215.4943303795.

Adding to 10007084 its reverse (48070001), we get a palindrome (58077085).

The spelling of 10007084 in words is "ten million, seven thousand, eighty-four".