42834 has 24 divisors (see below), whose sum is σ = 95760. Its totient is φ = 12760.

The previous prime is 42829. The next prime is 42839. The reversal of 42834 is 43824.

42834 = 7² + 8² + ... + 50².

It is a happy number.

42834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42829) and next prime (42839).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 42834.

It is not an unprimeable number, because it can be changed into a prime (42839) by changing a digit.

42834 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 11 ways as a sum of consecutive naturals, for example, 697 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2⁴²⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880).

42834 is an abundant number, since it is smaller than the sum of its proper divisors (52926).

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

42834 is a wasteful number, since it uses less digits than its factorization.

42834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 42834 is about 206.9637649445. The cubic root of 42834 is about 34.9888399793.

Subtracting 42834 from its reverse (43824), we obtain a triangular number (990 = T₄₄).

The spelling of 42834 in words is "forty-two thousand, eight hundred thirty-four".