33851 has 2 divisors, whose sum is σ = 33852. Its totient is φ = 33850.

The previous prime is 33829. The next prime is 33857. The reversal of 33851 is 15833.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 33851 - 2¹⁴ = 17467 is a prime.

It is a super-2 number, since 2×33851² = 2291780402, which contains 22 as substring.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33851.

It is not a weakly prime, because it can be changed into another prime (33857) 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 as a sum of consecutive naturals, namely, 16925 + 16926.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2³³⁸⁵¹ is an apocalyptic number.

33851 is a deficient number, since it is larger than the sum of its proper divisors (1).

33851 is an equidigital number, since it uses as much as digits as its factorization.

33851 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 20.

The square root of 33851 is about 183.9864125418. The cubic root of 33851 is about 32.3487249732.

The spelling of 33851 in words is "thirty-three thousand, eight hundred fifty-one".