516705 has 48 divisors (see below), whose sum is σ = 1039680. Its totient is φ = 217728.

The previous prime is 516701. The next prime is 516709. The reversal of 516705 is 507615.

516705 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (516701) and next prime (516709).

It is not a de Polignac number, because 516705 - 2² = 516701 is a prime.

516705 is an undulating number in base 11.

516705 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13947 + ... + 13983.

It is an arithmetic number, because the mean of its divisors is an integer number (21660).

2⁵¹⁶⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

516705 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.

516705 is a wasteful number, since it uses less digits than its factorization.

516705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 516705 is about 718.8219529202. The cubic root of 516705 is about 80.2443052606.

It can be divided in two parts, 516 and 705, that added together give a palindrome (1221).

The spelling of 516705 in words is "five hundred sixteen thousand, seven hundred five".