505933 has 4 divisors (see below), whose sum is σ = 507580. Its totient is φ = 504288.

The previous prime is 505927. The next prime is 505949. The reversal of 505933 is 339505.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 339505 = 5 ⋅67901.

It can be written as a sum of positive squares in 2 ways, for example, as 426409 + 79524 = 653^2 + 282^2 .

It is a cyclic number.

It is not a de Polignac number, because 505933 - 2¹³ = 497741 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505898 and 505907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (126895).

2⁵⁰⁵⁹³³ is an apocalyptic number.

It is an amenable number.

505933 is a deficient number, since it is larger than the sum of its proper divisors (1647).

505933 is a wasteful number, since it uses less digits than its factorization.

505933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646.

The product of its (nonzero) digits is 2025, while the sum is 25.

The square root of 505933 is about 711.2896737617. The cubic root of 505933 is about 79.6827540170.

The spelling of 505933 in words is "five hundred five thousand, nine hundred thirty-three".