87035 has 12 divisors (see below), whose sum is σ = 114192. Its totient is φ = 63648.

The previous prime is 87013. The next prime is 87037. The reversal of 87035 is 53078.

It is not a de Polignac number, because 87035 - 2¹⁰ = 86011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87035.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87035.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 794 + ... + 896.

It is an arithmetic number, because the mean of its divisors is an integer number (9516).

2⁸⁷⁰³⁵ is an apocalyptic number.

87035 is a deficient number, since it is larger than the sum of its proper divisors (27157).

87035 is a wasteful number, since it uses less digits than its factorization.

87035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 87035 is about 295.0169486657. The cubic root of 87035 is about 44.3164174382.

It can be divided in two parts, 8 and 7035, that multiplied together give a triangular number (56280 = T₃₃₅).

The spelling of 87035 in words is "eighty-seven thousand, thirty-five".