213931872 has 216 divisors, whose sum is σ = 765103248. Its totient is φ = 55503360.

The previous prime is 213931867. The next prime is 213931873. The reversal of 213931872 is 278139312.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 not an unprimeable number, because it can be changed into a prime (213931873) 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, 243498 + ... + 244374.

Almost surely, 2^213931872 is an apocalyptic number.

213931872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213931872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382551624).

213931872 is an abundant number, since it is smaller than the sum of its proper divisors (551171376).

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

213931872 is a wasteful number, since it uses less digits than its factorization.

213931872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 900 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 213931872 is about 14626.4100858686. The cubic root of 213931872 is about 598.0789223323.

The spelling of 213931872 in words is "two hundred thirteen million, nine hundred thirty-one thousand, eight hundred seventy-two".