9851 has 2 divisors, whose sum is σ = 9852. Its totient is φ = 9850.

The previous prime is 9839. The next prime is 9857. The reversal of 9851 is 1589.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 9851 - 2⁶ = 9787 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 6, base 9 and base 16.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9851.

It is not a weakly prime, because it can be changed into another prime (9857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4925 + 4926.

It is an arithmetic number, because the mean of its divisors is an integer number (4926).

2⁹⁸⁵¹ is an apocalyptic number.

9851 is a deficient number, since it is larger than the sum of its proper divisors (1).

9851 is an equidigital number, since it uses as much as digits as its factorization.

9851 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 23.

The square root of 9851 is about 99.2522040058. The cubic root of 9851 is about 21.4368074161.

The spelling of 9851 in words is "nine thousand, eight hundred fifty-one".