87833 has 2 divisors, whose sum is σ = 87834. Its totient is φ = 87832.

The previous prime is 87811. The next prime is 87853. The reversal of 87833 is 33878.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80089 + 7744 = 283^2 + 88^2 .

It is a cyclic number.

It is not a de Polignac number, because 87833 - 2¹² = 83737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 87796 and 87805.

It is not a weakly prime, because it can be changed into another prime (87803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43916 + 43917.

It is an arithmetic number, because the mean of its divisors is an integer number (43917).

2⁸⁷⁸³³ is an apocalyptic number.

It is an amenable number.

87833 is a deficient number, since it is larger than the sum of its proper divisors (1).

87833 is an equidigital number, since it uses as much as digits as its factorization.

87833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 29.

The square root of 87833 is about 296.3663273721. The cubic root of 87833 is about 44.4514472762.

The spelling of 87833 in words is "eighty-seven thousand, eight hundred thirty-three".