87563 has 6 divisors (see below), whose sum is σ = 101916. Its totient is φ = 75012.

The previous prime is 87559. The next prime is 87583. The reversal of 87563 is 36578.

It is not a de Polignac number, because 87563 - 2² = 87559 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87563.

It is not an unprimeable number, because it can be changed into a prime (87523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 845 + ... + 942.

It is an arithmetic number, because the mean of its divisors is an integer number (16986).

2⁸⁷⁵⁶³ is an apocalyptic number.

87563 is a deficient number, since it is larger than the sum of its proper divisors (14353).

87563 is a wasteful number, since it uses less digits than its factorization.

87563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1794 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 87563 is about 295.9104594299. The cubic root of 87563 is about 44.4058523790.

The spelling of 87563 in words is "eighty-seven thousand, five hundred sixty-three".