87536085 has 48 divisors (see below), whose sum is σ = 173361024. Its totient is φ = 36930816.

The previous prime is 87536081. The next prime is 87536101. The reversal of 87536085 is 58063578.

It is not a de Polignac number, because 87536085 - 2² = 87536081 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87536081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15279 + ... + 20211.

It is an arithmetic number, because the mean of its divisors is an integer number (3611688).

Almost surely, 2^87536085 is an apocalyptic number.

It is an amenable number.

87536085 is a deficient number, since it is larger than the sum of its proper divisors (85824939).

87536085 is a wasteful number, since it uses less digits than its factorization.

87536085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 87536085 is about 9356.0720924969. The cubic root of 87536085 is about 444.0130210855.

The spelling of 87536085 in words is "eighty-seven million, five hundred thirty-six thousand, eighty-five".