85484 has 24 divisors (see below), whose sum is σ = 177408. Its totient is φ = 35280.

The previous prime is 85469. The next prime is 85487. The reversal of 85484 is 48458.

It is not an unprimeable number, because it can be changed into a prime (85487) 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, 1169 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (7392).

2⁸⁵⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704).

85484 is an abundant number, since it is smaller than the sum of its proper divisors (91924).

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

85484 is a wasteful number, since it uses less digits than its factorization.

85484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 85484 is about 292.3764696415. The cubic root of 85484 is about 44.0515923741.

The spelling of 85484 in words is "eighty-five thousand, four hundred eighty-four".