66834 has 24 divisors (see below), whose sum is σ = 149760. Its totient is φ = 21528.

The previous prime is 66821. The next prime is 66841. The reversal of 66834 is 43866.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66798 and 66807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807 + ... + 885.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2⁶⁶⁸³⁴ is an apocalyptic number.

66834 is an abundant number, since it is smaller than the sum of its proper divisors (82926).

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 (74880).

66834 is a wasteful number, since it uses less digits than its factorization.

66834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 66834 is about 258.5227262737. The cubic root of 66834 is about 40.5819101304.

It can be divided in two parts, 66 and 834, that added together give a square (900 = 30²).

The spelling of 66834 in words is "sixty-six thousand, eight hundred thirty-four".