213486 has 64 divisors (see below), whose sum is σ = 580608. Its totient is φ = 50688.

The previous prime is 213481. The next prime is 213491. The reversal of 213486 is 684312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213481) and next prime (213491).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213481) by changing a digit.

213486 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 31 ways as a sum of consecutive naturals, for example, 9271 + ... + 9293.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2²¹³⁴⁸⁶ is an apocalyptic number.

213486 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

213486 is an abundant number, since it is smaller than the sum of its proper divisors (367122).

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

213486 is a wasteful number, since it uses less digits than its factorization.

213486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65.

The product of its digits is 1152, while the sum is 24.

The square root of 213486 is about 462.0454523096. The cubic root of 213486 is about 59.7663132455.

Adding to 213486 its reverse (684312), we get a palindrome (897798).

The spelling of 213486 in words is "two hundred thirteen thousand, four hundred eighty-six".