517998 has 32 divisors (see below), whose sum is σ = 1159200. Its totient is φ = 153216.

The previous prime is 517991. The next prime is 517999. The reversal of 517998 is 899715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 517998.

It is not an unprimeable number, because it can be changed into a prime (517991) by changing a digit.

517998 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 15 ways as a sum of consecutive naturals, for example, 2148 + ... + 2376.

It is an arithmetic number, because the mean of its divisors is an integer number (36225).

2⁵¹⁷⁹⁹⁸ is an apocalyptic number.

517998 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 517998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579600).

517998 is an abundant number, since it is smaller than the sum of its proper divisors (641202).

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

517998 is a wasteful number, since it uses less digits than its factorization.

517998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276.

The product of its digits is 22680, while the sum is 39.

The square root of 517998 is about 719.7207791915. The cubic root of 517998 is about 80.3111838217.

The spelling of 517998 in words is "five hundred seventeen thousand, nine hundred ninety-eight".