216996 has 36 divisors (see below), whose sum is σ = 553392. Its totient is φ = 66144.

The previous prime is 216991. The next prime is 217001. The reversal of 216996 is 699612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (216991) and next prime (217001).

It is an Ulam number.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (216991) by changing a digit.

216996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1975 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (15372).

2²¹⁶⁹⁹⁶ is an apocalyptic number.

216996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276696).

216996 is an abundant number, since it is smaller than the sum of its proper divisors (336396).

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

216996 is a wasteful number, since it uses less digits than its factorization.

216996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 216996 is about 465.8282945464. The cubic root of 216996 is about 60.0920808353.

The spelling of 216996 in words is "two hundred sixteen thousand, nine hundred ninety-six".