213217004 has 144 divisors (see below), whose sum is σ = 520525824. Its totient is φ = 74321280.

The previous prime is 213217003. The next prime is 213217007. The reversal of 213217004 is 400712312.

It is a super-2 number, since 2×213217004² = 90922981589472032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213217003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2070017 + ... + 2070119.

Almost surely, 2^213217004 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 213217004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260262912).

213217004 is an abundant number, since it is smaller than the sum of its proper divisors (307308820).

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

213217004 is a wasteful number, since it uses less digits than its factorization.

213217004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 213217004 is about 14601.9520612828. The cubic root of 213217004 is about 597.4120050383.

Adding to 213217004 its reverse (400712312), we get a palindrome (613929316).

The spelling of 213217004 in words is "two hundred thirteen million, two hundred seventeen thousand, four".