87546 has 8 divisors (see below), whose sum is σ = 175104. Its totient is φ = 29180.

The previous prime is 87541. The next prime is 87547. The reversal of 87546 is 64578.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

87546 is an admirable number.

It is a zygodrome in base 4.

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

87546 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7290 + ... + 7301.

It is an arithmetic number, because the mean of its divisors is an integer number (21888).

2⁸⁷⁵⁴⁶ is an apocalyptic number.

87546 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87552).

87546 is a wasteful number, since it uses less digits than its factorization.

87546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596.

The product of its digits is 6720, while the sum is 30.

The square root of 87546 is about 295.8817331300. The cubic root of 87546 is about 44.4029784545.

The spelling of 87546 in words is "eighty-seven thousand, five hundred forty-six".