217364 has 18 divisors (see below), whose sum is σ = 442890. Its totient is φ = 93072.

The previous prime is 217363. The next prime is 217367. The reversal of 217364 is 463712.

It can be written as a sum of positive squares in only one way, i.e., 122500 + 94864 = 350^2 + 308^2 .

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 217364.

It is not an unprimeable number, because it can be changed into a prime (217361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 359 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (24605).

2²¹⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

217364 is an abundant number, since it is smaller than the sum of its proper divisors (225526).

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

217364 is a wasteful number, since it uses less digits than its factorization.

217364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 217364 is about 466.2231225497. The cubic root of 217364 is about 60.1260313791.

The spelling of 217364 in words is "two hundred seventeen thousand, three hundred sixty-four".