834 has 8 divisors (see below), whose sum is σ = 1680. Its totient is φ = 276.

The previous prime is 829. The next prime is 839. The reversal of 834 is 438.

It can be divided in two parts, 8 and 34, that multiplied together give a palindrome (272).

It is an interprime number because it is at equal distance from previous prime (829) and next prime (839).

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

834 is an admirable number.

It is an alternating number because its digits alternate between even and odd.

It is a cake number, because a cake can be divided into 834 parts by 17 planar cuts.

It is a Curzon number.

It is a plaindrome in base 9 and base 11.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 834.

It is not an unprimeable number, because it can be changed into a prime (839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64 + ... + 75.

It is an arithmetic number, because the mean of its divisors is an integer number (210).

834 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 (840).

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

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

The sum of its prime factors is 144.

The product of its digits is 96, while the sum is 15.

The square root of 834 is about 28.8790581564. The cubic root of 834 is about 9.4128690493.

The spelling of 834 in words is "eight hundred thirty-four", and thus it is an aban number.

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