85974 has 32 divisors (see below), whose sum is σ = 207360. Its totient is φ = 23232.

The previous prime is 85933. The next prime is 85991. The reversal of 85974 is 47958.

It is an Ulam number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 922 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁸⁵⁹⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

85974 is an abundant number, since it is smaller than the sum of its proper divisors (121386).

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

85974 is a wasteful number, since it uses less digits than its factorization.

85974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its digits is 10080, while the sum is 33.

The square root of 85974 is about 293.2132329892. The cubic root of 85974 is about 44.1356009540.

The spelling of 85974 in words is "eighty-five thousand, nine hundred seventy-four".