214312 has 32 divisors (see below), whose sum is σ = 475200. Its totient is φ = 88704.

The previous prime is 214309. The next prime is 214351. The reversal of 214312 is 213412.

It is a junction number, because it is equal to n+sod(n) for n = 214292 and 214301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2364 + ... + 2452.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2²¹⁴³¹² 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 214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237600).

214312 is an abundant number, since it is smaller than the sum of its proper divisors (260888).

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

214312 is a wasteful number, since it uses less digits than its factorization.

214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 48, while the sum is 13.

The square root of 214312 is about 462.9384408320. The cubic root of 214312 is about 59.8432947846.

Adding to 214312 its reverse (213412), we get a palindrome (427724).

Subtracting from 214312 its reverse (213412), we obtain a square (900 = 30²).

The spelling of 214312 in words is "two hundred fourteen thousand, three hundred twelve", and thus it is an iban number.