212416 has 14 divisors (see below), whose sum is σ = 421640. Its totient is φ = 106176.

The previous prime is 212411. The next prime is 212419. The reversal of 212416 is 614212.

212416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 212416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1596 + ... + 1723.

2²¹²⁴¹⁶ is an apocalyptic number.

It is an amenable number.

212416 is a deficient number, since it is larger than the sum of its proper divisors (209224).

212416 is an equidigital number, since it uses as much as digits as its factorization.

212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3321 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 212416 is about 460.8861030667. The cubic root of 212416 is about 59.6662956120. Note that the first 3 decimals are identical.

Adding to 212416 its reverse (614212), we get a palindrome (826628).

The spelling of 212416 in words is "two hundred twelve thousand, four hundred sixteen".