216948 has 24 divisors (see below), whose sum is σ = 514080. Its totient is φ = 71200.

The previous prime is 216947. The next prime is 216967. The reversal of 216948 is 849612.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

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 216948.

It is not an unprimeable number, because it can be changed into a prime (216947) 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 7 ways as a sum of consecutive naturals, for example, 1123 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2²¹⁶⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

216948 is an abundant number, since it is smaller than the sum of its proper divisors (297132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216948 is a wasteful number, since it uses less digits than its factorization.

216948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 216948 is about 465.7767705672. The cubic root of 216948 is about 60.0876496743.

The spelling of 216948 in words is "two hundred sixteen thousand, nine hundred forty-eight".