84834 has 16 divisors (see below), whose sum is σ = 188640. Its totient is φ = 28260.

The previous prime is 84827. The next prime is 84857. The reversal of 84834 is 43848.

84834 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 84798 and 84807.

It is an unprimeable number.

84834 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 7 ways as a sum of consecutive naturals, for example, 732 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (11790).

2⁸⁴⁸³⁴ is an apocalyptic number.

84834 is an abundant number, since it is smaller than the sum of its proper divisors (103806).

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 (94320).

84834 is a wasteful number, since it uses less digits than its factorization.

84834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1576 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 84834 is about 291.2627679605. The cubic root of 84834 is about 43.9396555696.

The spelling of 84834 in words is "eighty-four thousand, eight hundred thirty-four".