213534 has 12 divisors (see below), whose sum is σ = 462696. Its totient is φ = 71172.

The previous prime is 213533. The next prime is 213539. The reversal of 213534 is 435312.

213534 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11863 = 213534 / (2 + 1 + 3 + 5 + 3 + 4).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213533) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5914 + ... + 5949.

It is an arithmetic number, because the mean of its divisors is an integer number (38558).

2²¹³⁵³⁴ is an apocalyptic number.

213534 is an abundant number, since it is smaller than the sum of its proper divisors (249162).

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

213534 is a wasteful number, since it uses less digits than its factorization.

213534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11871 (or 11868 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 213534 is about 462.0973923320. The cubic root of 213534 is about 59.7707921779.

Adding to 213534 its reverse (435312), we get a palindrome (648846).

It can be divided in two parts, 213 and 534, that added together give a palindrome (747).

The spelling of 213534 in words is "two hundred thirteen thousand, five hundred thirty-four".