506633 has 8 divisors (see below), whose sum is σ = 533760. Its totient is φ = 480240.

The previous prime is 506629. The next prime is 506647. The reversal of 506633 is 336605.

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 506633 - 2² = 506629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 506599 and 506608.

It is not an unprimeable number, because it can be changed into a prime (506663) 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 7 ways as a sum of consecutive naturals, for example, 1691 + ... + 1967.

It is an arithmetic number, because the mean of its divisors is an integer number (66720).

2⁵⁰⁶⁶³³ is an apocalyptic number.

It is an amenable number.

506633 is a deficient number, since it is larger than the sum of its proper divisors (27127).

506633 is a wasteful number, since it uses less digits than its factorization.

506633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367.

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 506633 is about 711.7815676175. The cubic root of 506633 is about 79.7194863004.

The spelling of 506633 in words is "five hundred six thousand, six hundred thirty-three".