10005831 has 24 divisors (see below), whose sum is σ = 15874560. Its totient is φ = 6022800.

The previous prime is 10005829. The next prime is 10005833. The reversal of 10005831 is 13850001.

It is a happy number.

10005831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10005829) and next prime (10005833).

It is not a de Polignac number, because 10005831 - 2¹ = 10005829 is a prime.

It is a super-2 number, since 2×10005831² = 200233308001122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005833) 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, 20650 + ... + 21128.

It is an arithmetic number, because the mean of its divisors is an integer number (661440).

Almost surely, 2^10005831 is an apocalyptic number.

10005831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10005831 is a deficient number, since it is larger than the sum of its proper divisors (5868729).

10005831 is a wasteful number, since it uses less digits than its factorization.

10005831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10005831 is about 3163.1994878604. The cubic root of 10005831 is about 215.4853358956.

Adding to 10005831 its reverse (13850001), we get a palindrome (23855832).

The spelling of 10005831 in words is "ten million, five thousand, eight hundred thirty-one".