213567 has 8 divisors (see below), whose sum is σ = 286896. Its totient is φ = 141312.

The previous prime is 213557. The next prime is 213589. The reversal of 213567 is 765312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 213567 - 2¹² = 209471 is a prime.

It is a super-2 number, since 2×213567² = 91221726978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (35862).

2²¹³⁵⁶⁷ is an apocalyptic number.

213567 is a deficient number, since it is larger than the sum of its proper divisors (73329).

213567 is a wasteful number, since it uses less digits than its factorization.

213567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537.

The product of its digits is 1260, while the sum is 24.

The square root of 213567 is about 462.1330977110. The cubic root of 213567 is about 59.7738710545.

Adding to 213567 its reverse (765312), we get a palindrome (978879).

It can be divided in two parts, 213 and 567, that added together give a triangular number (780 = T₃₉).

The spelling of 213567 in words is "two hundred thirteen thousand, five hundred sixty-seven".