505993 has 4 divisors (see below), whose sum is σ = 507520. Its totient is φ = 504468.

The previous prime is 505979. The next prime is 506047. The reversal of 505993 is 399505.

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, and also an emirpimes, since its reverse is a distinct semiprime: 399505 = 5 ⋅79901.

It is a cyclic number.

It is not a de Polignac number, because 505993 - 2⁵ = 505961 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505493) 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, 33 + ... + 1006.

It is an arithmetic number, because the mean of its divisors is an integer number (126880).

2⁵⁰⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

505993 is a deficient number, since it is larger than the sum of its proper divisors (1527).

505993 is a wasteful number, since it uses less digits than its factorization.

505993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526.

The product of its (nonzero) digits is 6075, while the sum is 31.

The square root of 505993 is about 711.3318494205. The cubic root of 505993 is about 79.6859038255.

The spelling of 505993 in words is "five hundred five thousand, nine hundred ninety-three".