87542 has 24 divisors (see below), whose sum is σ = 166896. Its totient is φ = 33696.

The previous prime is 87541. The next prime is 87547. The reversal of 87542 is 24578.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 10.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2348 + ... + 2384.

It is an arithmetic number, because the mean of its divisors is an integer number (6954).

2⁸⁷⁵⁴² is an apocalyptic number.

87542 is a deficient number, since it is larger than the sum of its proper divisors (79354).

87542 is a wasteful number, since it uses less digits than its factorization.

87542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 87542 is about 295.8749735953. The cubic root of 87542 is about 44.4023021829.

The spelling of 87542 in words is "eighty-seven thousand, five hundred forty-two".