214024 has 16 divisors (see below), whose sum is σ = 414720. Its totient is φ = 103440.

The previous prime is 214021. The next prime is 214031. The reversal of 214024 is 420412.

214024 is nontrivially palindromic in base 15.

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 213995 and 214013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2²¹⁴⁰²⁴ is an apocalyptic number.

It is an amenable number.

214024 is a deficient number, since it is larger than the sum of its proper divisors (200696).

214024 is a wasteful number, since it uses less digits than its factorization.

214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 214024 is about 462.6272797836. The cubic root of 214024 is about 59.8164762600.

Adding to 214024 its reverse (420412), we get a palindrome (634436).

It can be divided in two parts, 2140 and 24, that multiplied together give a triangular number (51360 = T₃₂₀).

The spelling of 214024 in words is "two hundred fourteen thousand, twenty-four", and thus it is an iban number.