345216 has 64 divisors (see below), whose sum is σ = 979200. Its totient is φ = 107520.

The previous prime is 345193. The next prime is 345221. The reversal of 345216 is 612543.

345216 = T₇₃ + T₇₄ + ... + T₁₃₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 345192 and 345201.

It is a congruent number.

It is an unprimeable number.

345216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11121 + ... + 11151.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2³⁴⁵²¹⁶ 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 345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489600).

345216 is an abundant number, since it is smaller than the sum of its proper divisors (633984).

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

345216 is a wasteful number, since it uses less digits than its factorization.

345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 345216 is about 587.5508488633. The cubic root of 345216 is about 70.1504248160.

Adding to 345216 its reverse (612543), we get a palindrome (957759).

It can be divided in two parts, 345 and 216, that added together give a triangular number (561 = T₃₃).

The spelling of 345216 in words is "three hundred forty-five thousand, two hundred sixteen".