87835 has 8 divisors (see below), whose sum is σ = 115056. Its totient is φ = 63840.

The previous prime is 87833. The next prime is 87853. The reversal of 87835 is 53878.

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

It is not a de Polignac number, because 87835 - 2¹ = 87833 is a prime.

It is a Duffinian number.

87835 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 87797 and 87806.

It is not an unprimeable number, because it can be changed into a prime (87833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (14382).

2⁸⁷⁸³⁵ is an apocalyptic number.

87835 is a deficient number, since it is larger than the sum of its proper divisors (27221).

87835 is a wasteful number, since it uses less digits than its factorization.

87835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613.

The product of its digits is 6720, while the sum is 31.

The square root of 87835 is about 296.3697015553. The cubic root of 87835 is about 44.4517846673.

The spelling of 87835 in words is "eighty-seven thousand, eight hundred thirty-five".