10034 has 8 divisors (see below), whose sum is σ = 15660. Its totient is φ = 4816.

The previous prime is 10009. The next prime is 10037. The reversal of 10034 is 43001.

10034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9409 + 625 = 97^2 + 25^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (10037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 144.

2¹⁰⁰³⁴ is an apocalyptic number.

10034 is a deficient number, since it is larger than the sum of its proper divisors (5626).

10034 is a wasteful number, since it uses less digits than its factorization.

10034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10034 is about 100.1698557451. The cubic root of 10034 is about 21.5687362064.

Adding to 10034 its reverse (43001), we get a palindrome (53035).

The spelling of 10034 in words is "ten thousand, thirty-four".