987567 has 32 divisors (see below), whose sum is σ = 1634304. Its totient is φ = 518400.

The previous prime is 987559. The next prime is 987587. The reversal of 987567 is 765789.

It is not a de Polignac number, because 987567 - 2³ = 987559 is a prime.

987567 is a lucky number.

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 987567.

It is not an unprimeable number, because it can be changed into a prime (987587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24067 + ... + 24107.

It is an arithmetic number, because the mean of its divisors is an integer number (51072).

2⁹⁸⁷⁵⁶⁷ is an apocalyptic number.

987567 is a deficient number, since it is larger than the sum of its proper divisors (646737).

987567 is a wasteful number, since it uses less digits than its factorization.

987567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119.

The product of its digits is 105840, while the sum is 42.

The square root of 987567 is about 993.7640565044. The cubic root of 987567 is about 99.5838371541.

The spelling of 987567 in words is "nine hundred eighty-seven thousand, five hundred sixty-seven".