511947 has 16 divisors (see below), whose sum is σ = 772480. Its totient is φ = 335016.

The previous prime is 511939. The next prime is 511961. The reversal of 511947 is 749115.

It is not a de Polignac number, because 511947 - 2³ = 511939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

511947 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 511947.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 511947.

It is not an unprimeable number, because it can be changed into a prime (511997) 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, 1668 + ... + 1950.

It is an arithmetic number, because the mean of its divisors is an integer number (48280).

2⁵¹¹⁹⁴⁷ is an apocalyptic number.

511947 is a deficient number, since it is larger than the sum of its proper divisors (260533).

511947 is a wasteful number, since it uses less digits than its factorization.

511947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 511947 is about 715.5047169656. The cubic root of 511947 is about 79.9972394881.

The spelling of 511947 in words is "five hundred eleven thousand, nine hundred forty-seven".