213810 has 16 divisors (see below), whose sum is σ = 513216. Its totient is φ = 57008.

The previous prime is 213799. The next prime is 213821. The reversal of 213810 is 18312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213799) and next prime (213821).

It is a super-2 number, since 2×213810² = 91429432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213810.

It is an unprimeable number.

213810 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, 3534 + ... + 3593.

It is an arithmetic number, because the mean of its divisors is an integer number (32076).

2²¹³⁸¹⁰ is an apocalyptic number.

213810 is an abundant number, since it is smaller than the sum of its proper divisors (299406).

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

213810 is a wasteful number, since it uses less digits than its factorization.

213810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7137.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 213810 is about 462.3959342382. The cubic root of 213810 is about 59.7965330220.

The spelling of 213810 in words is "two hundred thirteen thousand, eight hundred ten".