213175172 has 48 divisors (see below), whose sum is σ = 467026560. Its totient is φ = 83016192.

The previous prime is 213175163. The next prime is 213175177. The reversal of 213175172 is 271571312.

213175172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (213175177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6083 + ... + 21525.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2^213175172 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 213175172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

213175172 is an abundant number, since it is smaller than the sum of its proper divisors (253851388).

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

213175172 is a wasteful number, since it uses less digits than its factorization.

213175172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15500 (or 15498 counting only the distinct ones).

The product of its digits is 2940, while the sum is 29.

The square root of 213175172 is about 14600.5195797958. The cubic root of 213175172 is about 597.3729328364.

The spelling of 213175172 in words is "two hundred thirteen million, one hundred seventy-five thousand, one hundred seventy-two".