217138 has 8 divisors (see below), whose sum is σ = 328320. Its totient is φ = 107700.

The previous prime is 217121. The next prime is 217157. The reversal of 217138 is 831712.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×217138² = 94297822088, which contains 22 as substring.

It is a plaindrome in base 13.

It is an unprimeable number.

217138 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 58 + ... + 661.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2²¹⁷¹³⁸ is an apocalyptic number.

217138 is a deficient number, since it is larger than the sum of its proper divisors (111182).

217138 is a wasteful number, since it uses less digits than its factorization.

217138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872.

The product of its digits is 336, while the sum is 22.

The square root of 217138 is about 465.9806862950. The cubic root of 217138 is about 60.1051858615.

It can be divided in two parts, 2171 and 38, that added together give a square (2209 = 47²).

The spelling of 217138 in words is "two hundred seventeen thousand, one hundred thirty-eight".