217134 has 16 divisors (see below), whose sum is σ = 482640. Its totient is φ = 72360.

The previous prime is 217121. The next prime is 217157. The reversal of 217134 is 431712.

217134 is nontrivially palindromic in base 8.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (30165).

2²¹⁷¹³⁴ is an apocalyptic number.

217134 is an abundant number, since it is smaller than the sum of its proper divisors (265506).

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

217134 is a wasteful number, since it uses less digits than its factorization.

217134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4026 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 217134 is about 465.9763942519. The cubic root of 217134 is about 60.1048167841.

Adding to 217134 its reverse (431712), we get a palindrome (648846).

It can be divided in two parts, 217 and 134, that added together give a triangular number (351 = T₂₆).

The spelling of 217134 in words is "two hundred seventeen thousand, one hundred thirty-four".