505963 has 8 divisors (see below), whose sum is σ = 532800. Its totient is φ = 479808.

The previous prime is 505961. The next prime is 505969. The reversal of 505963 is 369505.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 505963 - 2¹ = 505961 is a prime.

It is a Duffinian number.

505963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (505961) 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, 1998 + ... + 2236.

It is an arithmetic number, because the mean of its divisors is an integer number (66600).

2⁵⁰⁵⁹⁶³ is an apocalyptic number.

505963 is a deficient number, since it is larger than the sum of its proper divisors (26837).

505963 is a wasteful number, since it uses less digits than its factorization.

505963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341.

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 505963 is about 711.3107619037. The cubic root of 505963 is about 79.6843289524.

The spelling of 505963 in words is "five hundred five thousand, nine hundred sixty-three".