516084 has 24 divisors (see below), whose sum is σ = 1246560. Its totient is φ = 165984.

The previous prime is 516077. The next prime is 516091. The reversal of 516084 is 480615.

It is an interprime number because it is at equal distance from previous prime (516077) and next prime (516091).

It is a congruent number.

It is an unprimeable number.

516084 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 7 ways as a sum of consecutive naturals, for example, 394 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (51940).

2⁵¹⁶⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

516084 is an abundant number, since it is smaller than the sum of its proper divisors (730476).

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

516084 is a wasteful number, since it uses less digits than its factorization.

516084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 516084 is about 718.3898662982. The cubic root of 516084 is about 80.2121452659.

Adding to 516084 its reverse (480615), we get a palindrome (996699).

The spelling of 516084 in words is "five hundred sixteen thousand, eighty-four".