162208 has 24 divisors (see below), whose sum is σ = 330372. Its totient is φ = 78336.

The previous prime is 162143. The next prime is 162209. The reversal of 162208 is 802261.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 11664 = 388^2 + 108^2 .

It is a super-2 number, since 2×162208² = 52622870528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (162209) by changing a digit.

162208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1116 + ... + 1252.

2¹⁶²²⁰⁸ 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 162208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165186).

162208 is an abundant number, since it is smaller than the sum of its proper divisors (168164).

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

162208 is a wasteful number, since it uses less digits than its factorization.

162208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 162208 is about 402.7505431405. The cubic root of 162208 is about 54.5369387379.

Adding to 162208 its reverse (802261), we get a palindrome (964469).

The spelling of 162208 in words is "one hundred sixty-two thousand, two hundred eight".