213354 has 24 divisors (see below), whose sum is σ = 480480. Its totient is φ = 70956.

The previous prime is 213349. The next prime is 213359. The reversal of 213354 is 453312.

It is an interprime number because it is at equal distance from previous prime (213349) and next prime (213359).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (20020).

2²¹³³⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240240).

213354 is an abundant number, since it is smaller than the sum of its proper divisors (267126).

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

213354 is an equidigital number, since it uses as much as digits as its factorization.

213354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 213354 is about 461.9025871328. The cubic root of 213354 is about 59.7539927188.

Adding to 213354 its reverse (453312), we get a palindrome (666666).

It can be divided in two parts, 2133 and 54, that added together give a 7-th power (2187 = 3⁷).

The spelling of 213354 in words is "two hundred thirteen thousand, three hundred fifty-four".