84546 has 48 divisors (see below), whose sum is σ = 232128. Its totient is φ = 21600.

The previous prime is 84533. The next prime is 84551. The reversal of 84546 is 64548.

It is a super-2 number, since 2×84546² = 14296052232, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

84546 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356 + ... + 1416.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2⁸⁴⁵⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064).

84546 is an abundant number, since it is smaller than the sum of its proper divisors (147582).

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

84546 is a wasteful number, since it uses less digits than its factorization.

84546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 84 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 84546 is about 290.7679487151. The cubic root of 84546 is about 43.8898761254.

It can be divided in two parts, 84 and 546, that added together give a triangular number (630 = T₃₅).

The spelling of 84546 in words is "eighty-four thousand, five hundred forty-six".