82734 has 8 divisors (see below), whose sum is σ = 165480. Its totient is φ = 27576.

The previous prime is 82729. The next prime is 82757. The reversal of 82734 is 43728.

It is a sphenic number, since it is the product of 3 distinct primes.

82734 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

82734 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 3 ways as a sum of consecutive naturals, for example, 6889 + ... + 6900.

It is an arithmetic number, because the mean of its divisors is an integer number (20685).

2⁸²⁷³⁴ is an apocalyptic number.

82734 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (82740).

82734 is a wasteful number, since it uses less digits than its factorization.

82734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13794.

The product of its digits is 1344, while the sum is 24.

The square root of 82734 is about 287.6351856084. The cubic root of 82734 is about 43.5740580182.

It can be divided in two parts, 827 and 34, that added together give a triangular number (861 = T₄₁).

The spelling of 82734 in words is "eighty-two thousand, seven hundred thirty-four".