214289712 has 400 divisors, whose sum is σ = 806615040. Its totient is φ = 53374464.

The previous prime is 214289659. The next prime is 214289717. The reversal of 214289712 is 217982412.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (214289717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2712489 + ... + 2712567.

Almost surely, 2^214289712 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 214289712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403307520).

214289712 is an abundant number, since it is smaller than the sum of its proper divisors (592325328).

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

214289712 is a wasteful number, since it uses less digits than its factorization.

214289712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 214289712 is about 14638.6376415294. The cubic root of 214289712 is about 598.4122018683.

The spelling of 214289712 in words is "two hundred fourteen million, two hundred eighty-nine thousand, seven hundred twelve".