87549 has 16 divisors (see below), whose sum is σ = 145920. Its totient is φ = 45360.

The previous prime is 87547. The next prime is 87553. The reversal of 87549 is 94578.

It is not a de Polignac number, because 87549 - 2¹ = 87547 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

87549 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (9120).

2⁸⁷⁵⁴⁹ is an apocalyptic number.

It is an amenable number.

87549 is a deficient number, since it is larger than the sum of its proper divisors (58371).

87549 is a wasteful number, since it uses less digits than its factorization.

87549 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400.

The product of its digits is 10080, while the sum is 33.

The square root of 87549 is about 295.8868026797. The cubic root of 87549 is about 44.4034856447.

It can be divided in two parts, 875 and 49, that multiplied together give a cube (42875 = 35³).

The spelling of 87549 in words is "eighty-seven thousand, five hundred forty-nine".