162304 has 20 divisors (see below), whose sum is σ = 325314. Its totient is φ = 80896.

The previous prime is 162293. The next prime is 162343. The reversal of 162304 is 403261.

162304 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 2304 = 400^2 + 48^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 354 + ... + 670.

2¹⁶²³⁰⁴ 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 162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162657).

162304 is an abundant number, since it is smaller than the sum of its proper divisors (163010).

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

162304 is an frugal number, since it uses more digits than its factorization.

162304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 162304 is about 402.8697059845. The cubic root of 162304 is about 54.5476955308.

Adding to 162304 its reverse (403261), we get a palindrome (565565).

It can be divided in two parts, 16 and 2304, that multiplied together give a square (36864 = 192²).

The spelling of 162304 in words is "one hundred sixty-two thousand, three hundred four".