213420 has 24 divisors (see below), whose sum is σ = 597744. Its totient is φ = 56896.

The previous prime is 213407. The next prime is 213449. The reversal of 213420 is 24312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213396 and 213405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1719 + ... + 1838.

It is an arithmetic number, because the mean of its divisors is an integer number (24906).

2²¹³⁴²⁰ is an apocalyptic number.

213420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213420 is an abundant number, since it is smaller than the sum of its proper divisors (384324).

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

213420 is a wasteful number, since it uses less digits than its factorization.

213420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 213420 is about 461.9740252438. The cubic root of 213420 is about 59.7601536172.

Adding to 213420 its reverse (24312), we get a palindrome (237732).

The spelling of 213420 in words is "two hundred thirteen thousand, four hundred twenty".