217952 has 36 divisors (see below), whose sum is σ = 502740. Its totient is φ = 92736.

The previous prime is 217937. The next prime is 217969. The reversal of 217952 is 259712.

217952 is nontrivially palindromic in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1499 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (13965).

2²¹⁷⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251370).

217952 is an abundant number, since it is smaller than the sum of its proper divisors (284788).

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

217952 is a wasteful number, since it uses less digits than its factorization.

217952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 217952 is about 466.8532960149. The cubic root of 217952 is about 60.1801990043.

The spelling of 217952 in words is "two hundred seventeen thousand, nine hundred fifty-two".