85742 has 8 divisors (see below), whose sum is σ = 131736. Its totient is φ = 41832.

The previous prime is 85733. The next prime is 85751. The reversal of 85742 is 24758.

It is an interprime number because it is at equal distance from previous prime (85733) and next prime (85751).

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

It is a plaindrome in base 14 and base 16.

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 85742.

It is an unprimeable 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, 413 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (16467).

2⁸⁵⁷⁴² is an apocalyptic number.

85742 is a deficient number, since it is larger than the sum of its proper divisors (45994).

85742 is a wasteful number, since it uses less digits than its factorization.

85742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042.

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

The square root of 85742 is about 292.8173492128. The cubic root of 85742 is about 44.0958653610.

The spelling of 85742 in words is "eighty-five thousand, seven hundred forty-two".