213727164 has 96 divisors (see below), whose sum is σ = 590962176. Its totient is φ = 58855680.

The previous prime is 213727123. The next prime is 213727169. The reversal of 213727164 is 461727312.

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 (213727169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271179 + ... + 271965.

It is an arithmetic number, because the mean of its divisors is an integer number (6155856).

Almost surely, 2^213727164 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 213727164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295481088).

213727164 is an abundant number, since it is smaller than the sum of its proper divisors (377235012).

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

213727164 is a wasteful number, since it uses less digits than its factorization.

213727164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 913 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 213727164 is about 14619.4105216318. The cubic root of 213727164 is about 597.8880973895. Note that the first 3 decimals are identical.

The spelling of 213727164 in words is "two hundred thirteen million, seven hundred twenty-seven thousand, one hundred sixty-four".