214033716 has 72 divisors (see below), whose sum is σ = 593709480. Its totient is φ = 64606464.

The previous prime is 214033709. The next prime is 214033733. The reversal of 214033716 is 617330412.

It can be written as a sum of positive squares in 4 ways, for example, as 41216400 + 172817316 = 6420^2 + 13146^2 .

It is a super-3 number, since 3×214033716³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214033716.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20490 + ... + 29118.

It is an arithmetic number, because the mean of its divisors is an integer number (8245965).

Almost surely, 2^214033716 is an apocalyptic number.

214033716 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214033716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296854740).

214033716 is an abundant number, since it is smaller than the sum of its proper divisors (379675764).

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

214033716 is a wasteful number, since it uses less digits than its factorization.

214033716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 214033716 is about 14629.8911820970. The cubic root of 214033716 is about 598.1738140472.

The spelling of 214033716 in words is "two hundred fourteen million, thirty-three thousand, seven hundred sixteen".