213164 has 24 divisors (see below), whose sum is σ = 446208. Its totient is φ = 87120.

The previous prime is 213149. The next prime is 213173. The reversal of 213164 is 461312.

It is an unprimeable number.

213164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (18592).

2²¹³¹⁶⁴ 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 213164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223104).

213164 is an abundant number, since it is smaller than the sum of its proper divisors (233044).

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

213164 is a wasteful number, since it uses less digits than its factorization.

213164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 213164 is about 461.6968702515. The cubic root of 213164 is about 59.7362497026.

Adding to 213164 its reverse (461312), we get a palindrome (674476).

It can be divided in two parts, 21316 and 4, that multiplied together give a square (85264 = 292²).

The spelling of 213164 in words is "two hundred thirteen thousand, one hundred sixty-four".