506141 has 8 divisors (see below), whose sum is σ = 564480. Its totient is φ = 451008.

The previous prime is 506131. The next prime is 506147. The reversal of 506141 is 141605.

It is a happy number.

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 506141 - 2¹⁰ = 505117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506141.

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 7 ways as a sum of consecutive naturals, for example, 461 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

2⁵⁰⁶¹⁴¹ is an apocalyptic number.

It is an amenable number.

506141 is a deficient number, since it is larger than the sum of its proper divisors (58339).

506141 is a wasteful number, since it uses less digits than its factorization.

506141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 506141 is about 711.4358720222. The cubic root of 506141 is about 79.6936722888.

Adding to 506141 its reverse (141605), we get a palindrome (647746).

The spelling of 506141 in words is "five hundred six thousand, one hundred forty-one".