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9931 is a prime number
BaseRepresentation
bin10011011001011
3111121211
42123023
5304211
6113551
740645
oct23313
914554
109931
117509
1258b7
13469c
143895
152e21
hex26cb

9931 has 2 divisors, whose sum is σ = 9932. Its totient is φ = 9930.

The previous prime is 9929. The next prime is 9941. The reversal of 9931 is 1399.

It is a weak prime.

It is an emirp because it is prime and its reverse (1399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9931 - 21 = 9929 is a prime.

It is a super-2 number, since 2×99312 = 197249522, which contains 22 as substring.

Together with 9929, it forms a pair of twin primes.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is not a weakly prime, because it can be changed into another prime (9901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4965 + 4966.

It is an arithmetic number, because the mean of its divisors is an integer number (4966).

29931 is an apocalyptic number.

9931 is a deficient number, since it is larger than the sum of its proper divisors (1).

9931 is an equidigital number, since it uses as much as digits as its factorization.

9931 is an evil number, because the sum of its binary digits is even.

The product of its digits is 243, while the sum is 22.

The square root of 9931 is about 99.6544028129. The cubic root of 9931 is about 21.4946804939.

The spelling of 9931 in words is "nine thousand, nine hundred thirty-one".