505736 has 32 divisors (see below), whose sum is σ = 1183680. Its totient is φ = 196800.

The previous prime is 505727. The next prime is 505759. The reversal of 505736 is 637505.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

505736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 206 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (36990).

2⁵⁰⁵⁷³⁶ is an apocalyptic number.

505736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591840).

505736 is an abundant number, since it is smaller than the sum of its proper divisors (677944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505736 is a wasteful number, since it uses less digits than its factorization.

505736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 505736 is about 711.1511794267. The cubic root of 505736 is about 79.6724103941.

Subtracting 505736 from its reverse (637505), we obtain a square (131769 = 363²).

The spelling of 505736 in words is "five hundred five thousand, seven hundred thirty-six".