87733 has 4 divisors (see below), whose sum is σ = 89280. Its totient is φ = 86188.

The previous prime is 87721. The next prime is 87739. The reversal of 87733 is 33778.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33778 = 2 ⋅16889.

It is a cyclic number.

It is not a de Polignac number, because 87733 - 2⁵ = 87701 is a prime.

It is a Duffinian number.

87733 is a lucky number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 685 + ... + 802.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁸⁷⁷³³ is an apocalyptic number.

It is an amenable number.

87733 is a deficient number, since it is larger than the sum of its proper divisors (1547).

87733 is a wasteful number, since it uses less digits than its factorization.

87733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546.

The product of its digits is 3528, while the sum is 28.

The square root of 87733 is about 296.1975692000. The cubic root of 87733 is about 44.4345711865.

It can be divided in two parts, 87 and 733, that added together give a triangular number (820 = T₄₀).

The spelling of 87733 in words is "eighty-seven thousand, seven hundred thirty-three".