361216 has 36 divisors (see below), whose sum is σ = 772632. Its totient is φ = 167936.

The previous prime is 361213. The next prime is 361217. The reversal of 361216 is 612163.

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 = 361193 and 361202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361211) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4311 + ... + 4393.

It is an arithmetic number, because the mean of its divisors is an integer number (21462).

2³⁶¹²¹⁶ 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 361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386316).

361216 is an abundant number, since it is smaller than the sum of its proper divisors (411416).

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

361216 is an equidigital number, since it uses as much as digits as its factorization.

361216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 361216 is about 601.0124790718. The cubic root of 361216 is about 71.2178720443.

Adding to 361216 its reverse (612163), we get a palindrome (973379).

The spelling of 361216 in words is "three hundred sixty-one thousand, two hundred sixteen".