214164 has 30 divisors (see below), whose sum is σ = 560714. Its totient is φ = 71280.

The previous prime is 214163. The next prime is 214177. The reversal of 214164 is 461412.

It can be written as a sum of positive squares in only one way, i.e., 202500 + 11664 = 450^2 + 108^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214163) 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 9 ways as a sum of consecutive naturals, for example, 7 + ... + 654.

2²¹⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280357).

214164 is an abundant number, since it is smaller than the sum of its proper divisors (346550).

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

214164 is a wasteful number, since it uses less digits than its factorization.

214164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 666 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 214164 is about 462.7785647586. The cubic root of 214164 is about 59.8295160458.

Adding to 214164 its reverse (461412), we get a palindrome (675576).

It can be divided in two parts, 214 and 164, that added together give a triangular number (378 = T₂₇).

The spelling of 214164 in words is "two hundred fourteen thousand, one hundred sixty-four".