214352124 has 96 divisors (see below), whose sum is σ = 586285056. Its totient is φ = 59693760.

The previous prime is 214352113. The next prime is 214352143. The reversal of 214352124 is 421253412.

214352124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×214352124⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 214352094 and 214352103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757287 + ... + 757569.

It is an arithmetic number, because the mean of its divisors is an integer number (6107136).

Almost surely, 2^214352124 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 214352124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293142528).

214352124 is an abundant number, since it is smaller than the sum of its proper divisors (371932932).

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

214352124 is a wasteful number, since it uses less digits than its factorization.

214352124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 214352124 is about 14640.7692420856. The cubic root of 214352124 is about 598.4702921933.

The spelling of 214352124 in words is "two hundred fourteen million, three hundred fifty-two thousand, one hundred twenty-four".