10001334 has 64 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 2656800.

The previous prime is 10001311. The next prime is 10001347. The reversal of 10001334 is 43310001.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 66159 + ... + 66309.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 2^10001334 is an apocalyptic number.

10001334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257280).

10001334 is an abundant number, since it is smaller than the sum of its proper divisors (14513226).

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

10001334 is a wasteful number, since it uses less digits than its factorization.

10001334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10001334 is about 3162.4885770545. The cubic root of 10001334 is about 215.4530486301.

Adding to 10001334 its reverse (43310001), we get a palindrome (53311335).

The spelling of 10001334 in words is "ten million, one thousand, three hundred thirty-four".