505737 has 8 divisors (see below), whose sum is σ = 749280. Its totient is φ = 337140.

The previous prime is 505727. The next prime is 505759. The reversal of 505737 is 737505.

It is not a de Polignac number, because 505737 - 2⁸ = 505481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 18731 = 505737 / (5 + 0 + 5 + 7 + 3 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 505737.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505737.

It is not an unprimeable number, because it can be changed into a prime (505727) 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, 9339 + ... + 9392.

It is an arithmetic number, because the mean of its divisors is an integer number (93660).

2⁵⁰⁵⁷³⁷ is an apocalyptic number.

It is an amenable number.

505737 is a deficient number, since it is larger than the sum of its proper divisors (243543).

505737 is a wasteful number, since it uses less digits than its factorization.

505737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18740 (or 18734 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 505737 is about 711.1518825117. The cubic root of 505737 is about 79.6724629066.

The spelling of 505737 in words is "five hundred five thousand, seven hundred thirty-seven".