355216 has 15 divisors (see below), whose sum is σ = 692881. Its totient is φ = 176416.

The previous prime is 355211. The next prime is 355261. The reversal of 355216 is 612553.

It is a happy number.

The square root of 355216 is 596.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 313600 = 204^2 + 560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (355211) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2310 + ... + 2458.

355216 is a Friedman number, since it can be written as (531+65)^2, using all its digits and the basic arithmetic operations.

2³⁵⁵²¹⁶ is an apocalyptic number.

355216 is the 596-th square number.

It is an amenable number.

355216 is a deficient number, since it is larger than the sum of its proper divisors (337665).

355216 is an equidigital number, since it uses as much as digits as its factorization.

355216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 151 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The cubic root of 355216 is about 70.8213454530.

Multiplying 355216 by its product of digits (900), we get a square (319694400 = 17880²).

Adding to 355216 its reverse (612553), we get a palindrome (967769).

The spelling of 355216 in words is "three hundred fifty-five thousand, two hundred sixteen".