516834 has 32 divisors (see below), whose sum is σ = 1218240. Its totient is φ = 161856.

The previous prime is 516829. The next prime is 516839. The reversal of 516834 is 438615.

It is an interprime number because it is at equal distance from previous prime (516829) and next prime (516839).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 516798 and 516807.

It is not an unprimeable number, because it can be changed into a prime (516839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (38070).

2⁵¹⁶⁸³⁴ is an apocalyptic number.

516834 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 516834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609120).

516834 is an abundant number, since it is smaller than the sum of its proper divisors (701406).

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

516834 is a wasteful number, since it uses less digits than its factorization.

516834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 516834 is about 718.9116774681. The cubic root of 516834 is about 80.2509826065.

The spelling of 516834 in words is "five hundred sixteen thousand, eight hundred thirty-four".