216762 has 32 divisors (see below), whose sum is σ = 534912. Its totient is φ = 57024.

The previous prime is 216761. The next prime is 216779. The reversal of 216762 is 267612.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 216762.

It is not an unprimeable number, because it can be changed into a prime (216761) 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 15 ways as a sum of consecutive naturals, for example, 348 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (16716).

2²¹⁶⁷⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267456).

216762 is an abundant number, since it is smaller than the sum of its proper divisors (318150).

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

216762 is a wasteful number, since it uses less digits than its factorization.

216762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422.

The product of its digits is 1008, while the sum is 24.

The square root of 216762 is about 465.5770612906. The cubic root of 216762 is about 60.0704727497.

The spelling of 216762 in words is "two hundred sixteen thousand, seven hundred sixty-two".