213220 has 24 divisors (see below), whose sum is σ = 512064. Its totient is φ = 73056.

The previous prime is 213217. The next prime is 213223. The reversal of 213220 is 22312.

213220 = T₂₅ + T₂₆ + ... + T₁₀₈.

It is an interprime number because it is at equal distance from previous prime (213217) and next prime (213223).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 213197 and 213206.

It is not an unprimeable number, because it can be changed into a prime (213223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622 + ... + 901.

It is an arithmetic number, because the mean of its divisors is an integer number (21336).

2²¹³²²⁰ is an apocalyptic number.

213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213220 is an abundant number, since it is smaller than the sum of its proper divisors (298844).

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

213220 is a wasteful number, since it uses less digits than its factorization.

213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 213220 is about 461.7575121208. The cubic root of 213220 is about 59.7414803186.

Adding to 213220 its reverse (22312), we get a palindrome (235532).

The spelling of 213220 in words is "two hundred thirteen thousand, two hundred twenty".