213690 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 53504.

The previous prime is 213659. The next prime is 213713. The reversal of 213690 is 96312.

213690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213690² = 91326832200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

213690 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 15 ways as a sum of consecutive naturals, for example, 301 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2²¹³⁶⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

213690 is an abundant number, since it is smaller than the sum of its proper divisors (330630).

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

213690 is a wasteful number, since it uses less digits than its factorization.

213690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 213690 is about 462.2661571000. The cubic root of 213690 is about 59.7853440741.

It can be divided in two parts, 213 and 690, that added together give a triangular number (903 = T₄₂).

The spelling of 213690 in words is "two hundred thirteen thousand, six hundred ninety".