505837 has 8 divisors (see below), whose sum is σ = 540800. Its totient is φ = 471744.

The previous prime is 505823. The next prime is 505867. The reversal of 505837 is 738505.

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 505837 - 2⁷ = 505709 is a prime.

It is a Duffinian number.

505837 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505867) 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, 1333 + ... + 1669.

It is an arithmetic number, because the mean of its divisors is an integer number (67600).

2⁵⁰⁵⁸³⁷ is an apocalyptic number.

It is an amenable number.

505837 is a deficient number, since it is larger than the sum of its proper divisors (34963).

505837 is a wasteful number, since it uses less digits than its factorization.

505837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 505837 is about 711.2221875054. Note that the first 3 decimals coincide. The cubic root of 505837 is about 79.6777138053.

The spelling of 505837 in words is "five hundred five thousand, eight hundred thirty-seven".