506345 has 32 divisors (see below), whose sum is σ = 787968. Its totient is φ = 304128.

The previous prime is 506339. The next prime is 506347. The reversal of 506345 is 543605.

506345 = T₈₅ + T₈₆ + ... + T₁₅₃.

It is a cyclic number.

It is not a de Polignac number, because 506345 - 2⁴ = 506329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 506345.

It is not an unprimeable number, because it can be changed into a prime (506347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13667 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (24624).

2⁵⁰⁶³⁴⁵ is an apocalyptic number.

It is an amenable number.

506345 is a deficient number, since it is larger than the sum of its proper divisors (281623).

506345 is a wasteful number, since it uses less digits than its factorization.

506345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 506345 is about 711.5792296013. The cubic root of 506345 is about 79.7043776887.

The spelling of 506345 in words is "five hundred six thousand, three hundred forty-five".