87033 has 8 divisors (see below), whose sum is σ = 118048. Its totient is φ = 57024.

The previous prime is 87013. The next prime is 87037. The reversal of 87033 is 33078.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 87033 - 2⁶ = 86969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87033.

It is not an unprimeable number, because it can be changed into a prime (87037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (14756).

2⁸⁷⁰³³ is an apocalyptic number.

It is an amenable number.

87033 is a deficient number, since it is larger than the sum of its proper divisors (31015).

87033 is a wasteful number, since it uses less digits than its factorization.

87033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 87033 is about 295.0135590104. The cubic root of 87033 is about 44.3160779827.

It can be divided in two parts, 870 and 33, that added together give a triangular number (903 = T₄₂).

The spelling of 87033 in words is "eighty-seven thousand, thirty-three".