10017882 has 48 divisors (see below), whose sum is σ = 25396800. Its totient is φ = 2795688.

The previous prime is 10017881. The next prime is 10017893. The reversal of 10017882 is 28871001.

10017882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10017881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232953 + ... + 232995.

It is an arithmetic number, because the mean of its divisors is an integer number (529100).

Almost surely, 2^10017882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10017882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12698400).

10017882 is an abundant number, since it is smaller than the sum of its proper divisors (15378918).

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

10017882 is an frugal number, since it uses more digits than its factorization.

10017882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 10017882 is about 3165.1037897674. The cubic root of 10017882 is about 215.5718112035.

Adding to 10017882 its reverse (28871001), we get a palindrome (38888883).

The spelling of 10017882 in words is "ten million, seventeen thousand, eight hundred eighty-two".