213982272 has 168 divisors, whose sum is σ = 711541376. Its totient is φ = 60217344.

The previous prime is 213982261. The next prime is 213982283. The reversal of 213982272 is 272289312.

It is an interprime number because it is at equal distance from previous prime (213982261) and next prime (213982283).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293973 + ... + 294699.

Almost surely, 2^213982272 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 213982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355770688).

213982272 is an abundant number, since it is smaller than the sum of its proper divisors (497559104).

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

213982272 is a wasteful number, since it uses less digits than its factorization.

213982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 812 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 213982272 is about 14628.1328952126. The cubic root of 213982272 is about 598.1258855868.

The spelling of 213982272 in words is "two hundred thirteen million, nine hundred eighty-two thousand, two hundred seventy-two".