516838 has 32 divisors (see below), whose sum is σ = 979200. Its totient is φ = 199584.

The previous prime is 516829. The next prime is 516839. The reversal of 516838 is 838615.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7681 + ... + 7747.

It is an arithmetic number, because the mean of its divisors is an integer number (30600).

2⁵¹⁶⁸³⁸ is an apocalyptic number.

516838 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

516838 is a deficient number, since it is larger than the sum of its proper divisors (462362).

516838 is a wasteful number, since it uses less digits than its factorization.

516838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its digits is 5760, while the sum is 31.

The square root of 516838 is about 718.9144594456. The cubic root of 516838 is about 80.2511896383.

It can be divided in two parts, 51 and 6838, that added together give a square (6889 = 83²).

The spelling of 516838 in words is "five hundred sixteen thousand, eight hundred thirty-eight".