214564 has 24 divisors (see below), whose sum is σ = 439040. Its totient is φ = 89856.

The previous prime is 214561. The next prime is 214589. The reversal of 214564 is 465412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2164 + ... + 2260.

2²¹⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

214564 is an abundant number, since it is smaller than the sum of its proper divisors (224476).

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

214564 is a wasteful number, since it uses less digits than its factorization.

214564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 214564 is about 463.2105352861. The cubic root of 214564 is about 59.8667412914.

Adding to 214564 its reverse (465412), we get a palindrome (679976).

It can be divided in two parts, 2145 and 64, that added together give a square (2209 = 47²).

The spelling of 214564 in words is "two hundred fourteen thousand, five hundred sixty-four".