217332 has 18 divisors (see below), whose sum is σ = 549458. Its totient is φ = 72432.

The previous prime is 217319. The next prime is 217333. The reversal of 217332 is 233712.

217332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 60516 = 396^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2⁹ + 1 + 3⁸ + 7³ + 3¹¹ + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2983 + ... + 3054.

2²¹⁷³³² is an apocalyptic number.

It is an amenable number.

217332 is an abundant number, since it is smaller than the sum of its proper divisors (332126).

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

217332 is a wasteful number, since it uses less digits than its factorization.

217332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6042 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 217332 is about 466.1888029543. The cubic root of 217332 is about 60.1230806798.

The spelling of 217332 in words is "two hundred seventeen thousand, three hundred thirty-two".