217975136 has 48 divisors (see below), whose sum is σ = 458317440. Its totient is φ = 101821440.

The previous prime is 217975133. The next prime is 217975159. The reversal of 217975136 is 631579712.

It is a junction number, because it is equal to n+sod(n) for n = 217975093 and 217975102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217975133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24980 + ... + 32556.

It is an arithmetic number, because the mean of its divisors is an integer number (9548280).

Almost surely, 2^217975136 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 217975136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229158720).

217975136 is an abundant number, since it is smaller than the sum of its proper divisors (240342304).

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

217975136 is a wasteful number, since it uses less digits than its factorization.

217975136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7639 counting only the distinct ones).

The product of its digits is 79380, while the sum is 41.

The square root of 217975136 is about 14763.9810349377. The cubic root of 217975136 is about 601.8232834133.

The spelling of 217975136 in words is "two hundred seventeen million, nine hundred seventy-five thousand, one hundred thirty-six".