214864 has 20 divisors (see below), whose sum is σ = 448756. Its totient is φ = 99072.

The previous prime is 214853. The next prime is 214867. The reversal of 214864 is 468412.

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 85264 = 360^2 + 292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 309 + ... + 724.

2²¹⁴⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

214864 is an abundant number, since it is smaller than the sum of its proper divisors (233892).

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

214864 is a wasteful number, since it uses less digits than its factorization.

214864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 214864 is about 463.5342490043. The cubic root of 214864 is about 59.8946298754.

The spelling of 214864 in words is "two hundred fourteen thousand, eight hundred sixty-four".