10003084 has 24 divisors (see below), whose sum is σ = 21545888. Its totient is φ = 3957120.

The previous prime is 10003073. The next prime is 10003087. The reversal of 10003084 is 48030001.

It is a super-2 number, since 2×10003084² = 200123379022112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10003087) 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, 13377 + ... + 14104.

Almost surely, 2^10003084 is an apocalyptic number.

10003084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10003084 is an abundant number, since it is smaller than the sum of its proper divisors (11542804).

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

10003084 is a wasteful number, since it uses less digits than its factorization.

10003084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27505 (or 27503 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10003084 is about 3162.7652457936. The cubic root of 10003084 is about 215.4656143154.

Adding to 10003084 its reverse (48030001), we get a palindrome (58033085).

The spelling of 10003084 in words is "ten million, three thousand, eighty-four".