10031 has 4 divisors (see below), whose sum is σ = 11472. Its totient is φ = 8592.

The previous prime is 10009. The next prime is 10037. The reversal of 10031 is 13001.

10031 = T₅₀ + T₅₁ + ... + T₅₆.

10031 = 11² + 12² + ... + 31².

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10031 - 2⁶ = 9967 is a prime.

It is a super-2 number, since 2×10031² = 201241922, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 9997 and 10024.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 710 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (2868).

2¹⁰⁰³¹ is an apocalyptic number.

10031 is a deficient number, since it is larger than the sum of its proper divisors (1441).

10031 is an equidigital number, since it uses as much as digits as its factorization.

10031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440.

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 10031 is about 100.1548800608. The cubic root of 10031 is about 21.5665864271.

Adding to 10031 its reverse (13001), we get a palindrome (23032).

It can be divided in two parts, 100 and 31, that added together give a palindrome (131).

The spelling of 10031 in words is "ten thousand, thirty-one".