213380 has 24 divisors (see below), whose sum is σ = 459648. Its totient is φ = 83168.

The previous prime is 213361. The next prime is 213383. The reversal of 213380 is 83312.

213380 = 43² + 44² + ... + 89².

It is not an unprimeable number, because it can be changed into a prime (213383) by changing a digit.

213380 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, 827 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2²¹³³⁸⁰ is an apocalyptic number.

213380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213380 is an abundant number, since it is smaller than the sum of its proper divisors (246268).

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

213380 is a wasteful number, since it uses less digits than its factorization.

213380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

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

The square root of 213380 is about 461.9307307378. The cubic root of 213380 is about 59.7564198911.

Adding to 213380 its reverse (83312), we get a palindrome (296692).

The spelling of 213380 in words is "two hundred thirteen thousand, three hundred eighty".