213060 has 48 divisors (see below), whose sum is σ = 616896. Its totient is φ = 54912.

The previous prime is 213043. The next prime is 213067. The reversal of 213060 is 60312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213067) by changing a digit.

213060 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 (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3147 + ... + 3213.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2²¹³⁰⁶⁰ is an apocalyptic number.

213060 is a gapful number since it is divisible by the number (20) 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 213060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448).

213060 is an abundant number, since it is smaller than the sum of its proper divisors (403836).

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

213060 is a wasteful number, since it uses less digits than its factorization.

213060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213060 is about 461.5842285001. The cubic root of 213060 is about 59.7265332705.

Adding to 213060 its reverse (60312), we get a palindrome (273372).

It can be divided in two parts, 21 and 3060, that added together give a triangular number (3081 = T₇₈).

The spelling of 213060 in words is "two hundred thirteen thousand, sixty".