517961 has 4 divisors (see below), whose sum is σ = 526800. Its totient is φ = 509124.

The previous prime is 517949. The next prime is 517967. The reversal of 517961 is 169715.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 517961 - 2¹⁴ = 501577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (517967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4331 + ... + 4448.

It is an arithmetic number, because the mean of its divisors is an integer number (131700).

2⁵¹⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

517961 is a deficient number, since it is larger than the sum of its proper divisors (8839).

517961 is an equidigital number, since it uses as much as digits as its factorization.

517961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8838.

The product of its digits is 1890, while the sum is 29.

The square root of 517961 is about 719.6950743197. The cubic root of 517961 is about 80.3092715978.

The spelling of 517961 in words is "five hundred seventeen thousand, nine hundred sixty-one".