403947 has 10 divisors (see below), whose sum is σ = 603548. Its totient is φ = 269244.

The previous prime is 403933. The next prime is 403951. The reversal of 403947 is 749304.

It is not a de Polignac number, because 403947 - 2¹⁰ = 402923 is a prime.

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

It is a Duffinian number.

403947 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 403947.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 403947.

It is not an unprimeable number, because it can be changed into a prime (403957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2413 + ... + 2574.

2⁴⁰³⁹⁴⁷ is an apocalyptic number.

403947 is a deficient number, since it is larger than the sum of its proper divisors (199601).

403947 is an equidigital number, since it uses as much as digits as its factorization.

403947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 403947 is about 635.5682496790. The cubic root of 403947 is about 73.9221850636.

It can be divided in two parts, 40394 and 7, that added together give a square (40401 = 201²).

The spelling of 403947 in words is "four hundred three thousand, nine hundred forty-seven".