87042 has 16 divisors (see below), whose sum is σ = 177120. Its totient is φ = 28512.

The previous prime is 87041. The next prime is 87049. The reversal of 87042 is 24078.

It is a happy number.

It is a plaindrome in base 15.

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 87042.

It is not an unprimeable number, because it can be changed into a prime (87041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (11070).

2⁸⁷⁰⁴² is an apocalyptic number.

87042 is an abundant number, since it is smaller than the sum of its proper divisors (90078).

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 (88560).

87042 is a wasteful number, since it uses less digits than its factorization.

87042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 87042 is about 295.0288121523. The cubic root of 87042 is about 44.3176054913.

The spelling of 87042 in words is "eighty-seven thousand, forty-two".