506145 has 16 divisors (see below), whose sum is σ = 830592. Its totient is φ = 263040.

The previous prime is 506131. The next prime is 506147. The reversal of 506145 is 541605.

It is a happy number.

It is not a de Polignac number, because 506145 - 2⁵ = 506113 is a prime.

It is a super-2 number, since 2×506145² = 512365522050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (51912).

2⁵⁰⁶¹⁴⁵ is an apocalyptic number.

It is an amenable number.

506145 is a deficient number, since it is larger than the sum of its proper divisors (324447).

506145 is a wasteful number, since it uses less digits than its factorization.

506145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 506145 is about 711.4386832328. The cubic root of 506145 is about 79.6938822262.

The spelling of 506145 in words is "five hundred six thousand, one hundred forty-five".