214824 has 16 divisors (see below), whose sum is σ = 537120. Its totient is φ = 71600.

The previous prime is 214817. The next prime is 214831. The reversal of 214824 is 428412.

It is an interprime number because it is at equal distance from previous prime (214817) and next prime (214831).

It is a super-2 number, since 2×214824² = 92298701952, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214824.

It is an unprimeable number.

214824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4452 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (33570).

2²¹⁴⁸²⁴ is an apocalyptic number.

214824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214824 is an abundant number, since it is smaller than the sum of its proper divisors (322296).

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

214824 is a wasteful number, since it uses less digits than its factorization.

214824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8960 (or 8956 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 214824 is about 463.4911002382. The cubic root of 214824 is about 59.8909128980.

The spelling of 214824 in words is "two hundred fourteen thousand, eight hundred twenty-four".