87735 has 8 divisors (see below), whose sum is σ = 140400. Its totient is φ = 46784.

The previous prime is 87721. The next prime is 87739. The reversal of 87735 is 53778.

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

It is a cyclic number.

It is not a de Polignac number, because 87735 - 2⁴ = 87719 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87735.

It is not an unprimeable number, because it can be changed into a prime (87739) 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, 2910 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2⁸⁷⁷³⁵ is an apocalyptic number.

87735 is a deficient number, since it is larger than the sum of its proper divisors (52665).

87735 is a wasteful number, since it uses less digits than its factorization.

87735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857.

The product of its digits is 5880, while the sum is 30.

The square root of 87735 is about 296.2009453057. The cubic root of 87735 is about 44.4349088339.

It can be divided in two parts, 8773 and 5, that added together give a palindrome (8778).

The spelling of 87735 in words is "eighty-seven thousand, seven hundred thirty-five".