517712 has 40 divisors (see below), whose sum is σ = 1145760. Its totient is φ = 224640.

The previous prime is 517711. The next prime is 517717. The reversal of 517712 is 217715.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3887 + ... + 4017.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁵¹⁷⁷¹² is an apocalyptic number.

517712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880).

517712 is an abundant number, since it is smaller than the sum of its proper divisors (628048).

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

517712 is a wasteful number, since it uses less digits than its factorization.

517712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its digits is 490, while the sum is 23.

The square root of 517712 is about 719.5220635950. The cubic root of 517712 is about 80.2964004782.

The spelling of 517712 in words is "five hundred seventeen thousand, seven hundred twelve".