163947 has 16 divisors (see below), whose sum is σ = 257792. Its totient is φ = 90720.

The previous prime is 163927. The next prime is 163973. The reversal of 163947 is 749361.

It is a happy number.

It is not a de Polignac number, because 163947 - 2⁶ = 163883 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 163947.

It is not an unprimeable number, because it can be changed into a prime (163927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (16112).

2¹⁶³⁹⁴⁷ is an apocalyptic number.

163947 is a deficient number, since it is larger than the sum of its proper divisors (93845).

163947 is a wasteful number, since it uses less digits than its factorization.

163947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its digits is 4536, while the sum is 30.

The square root of 163947 is about 404.9036922529. The cubic root of 163947 is about 54.7311396433.

The spelling of 163947 in words is "one hundred sixty-three thousand, nine hundred forty-seven".