217074312 has 144 divisors (see below), whose sum is σ = 736657740. Its totient is φ = 57238272.

The previous prime is 217074287. The next prime is 217074313. The reversal of 217074312 is 213470712.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 188622756 + 28451556 = 13734^2 + 5334^2 .

It is not an unprimeable number, because it can be changed into a prime (217074313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43498 + ... + 48230.

Almost surely, 2^217074312 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 217074312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368328870).

217074312 is an abundant number, since it is smaller than the sum of its proper divisors (519583428).

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

217074312 is a wasteful number, since it uses less digits than its factorization.

217074312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 217074312 is about 14733.4419603839. The cubic root of 217074312 is about 600.9930887178.

The spelling of 217074312 in words is "two hundred seventeen million, seventy-four thousand, three hundred twelve".