87133 has 2 divisors, whose sum is σ = 87134. Its totient is φ = 87132.

The previous prime is 87121. The next prime is 87149. The reversal of 87133 is 33178.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76729 + 10404 = 277^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 87133 - 2¹³ = 78941 is a prime.

87133 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43566 + 43567.

It is an arithmetic number, because the mean of its divisors is an integer number (43567).

2⁸⁷¹³³ is an apocalyptic number.

It is an amenable number.

87133 is a deficient number, since it is larger than the sum of its proper divisors (1).

87133 is an equidigital number, since it uses as much as digits as its factorization.

87133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 22.

The square root of 87133 is about 295.1829940901. The cubic root of 87133 is about 44.3330443885. Note that the first 3 decimals are identical.

The spelling of 87133 in words is "eighty-seven thousand, one hundred thirty-three".