213144 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 69536.

The previous prime is 213139. The next prime is 213149. The reversal of 213144 is 441312.

It is an interprime number because it is at equal distance from previous prime (213139) and next prime (213149).

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 (213149) by changing a digit.

213144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1939 + ... + 2045.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2²¹³¹⁴⁴ is an apocalyptic number.

213144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213144 is an abundant number, since it is smaller than the sum of its proper divisors (331176).

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

213144 is a wasteful number, since it uses less digits than its factorization.

213144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 213144 is about 461.6752105106. The cubic root of 213144 is about 59.7343814035.

Adding to 213144 its reverse (441312), we get a palindrome (654456).

The spelling of 213144 in words is "two hundred thirteen thousand, one hundred forty-four".