Search a number

9031 has 4 divisors (see below), whose sum is σ = 9864. Its totient is φ = 8200.

The previous prime is 9029. The next prime is 9041. The reversal of 9031 is 1309.

It can be divided in two parts, 90 and 31, that added together give a palindrome (121).

It is a happy number.

9031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 9031 - 21 = 9029 is a prime.

It is a super-2 number, since 2×90312 = 163117922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

9031 is a lucky number.

It is a plaindrome in base 9 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 400 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (2466).

29031 is an apocalyptic number.

9031 is the 43-rd centered decagonal number.

9031 is a deficient number, since it is larger than the sum of its proper divisors (833).

9031 is a wasteful number, since it uses less digits than its factorization.

9031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 9031 is about 95.0315737005. The cubic root of 9031 is about 20.8246933062.

The spelling of 9031 in words is "nine thousand, thirty-one".

Divisors: 1 11 821 9031