10034871 has 16 divisors (see below), whose sum is σ = 16681728. Its totient is φ = 5212800.

The previous prime is 10034851. The next prime is 10034887. The reversal of 10034871 is 17843001.

It is not a de Polignac number, because 10034871 - 2¹⁰ = 10033847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21490 + ... + 21951.

It is an arithmetic number, because the mean of its divisors is an integer number (1042608).

Almost surely, 2^10034871 is an apocalyptic number.

10034871 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10034871 is a deficient number, since it is larger than the sum of its proper divisors (6646857).

10034871 is a wasteful number, since it uses less digits than its factorization.

10034871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43462.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10034871 is about 3167.7864511359. The cubic root of 10034871 is about 215.6936027878.

Adding to 10034871 its reverse (17843001), we get a palindrome (27877872).

The spelling of 10034871 in words is "ten million, thirty-four thousand, eight hundred seventy-one".