81042 has 16 divisors (see below), whose sum is σ = 174720. Its totient is φ = 24912.

The previous prime is 81041. The next prime is 81043. The reversal of 81042 is 24018.

It is an interprime number because it is at equal distance from previous prime (81041) and next prime (81043).

It is not an unprimeable number, because it can be changed into a prime (81041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2⁸¹⁰⁴² is an apocalyptic number.

81042 is an abundant number, since it is smaller than the sum of its proper divisors (93678).

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 (87360).

81042 is a wasteful number, since it uses less digits than its factorization.

81042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 81042 is about 284.6787663315. The cubic root of 81042 is about 43.2749641481.

The spelling of 81042 in words is "eighty-one thousand, forty-two".