162900 has 54 divisors (see below), whose sum is σ = 513422. Its totient is φ = 43200.

The previous prime is 162889. The next prime is 162901. The reversal of 162900 is 9261.

162900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 161604 = 36^2 + 402^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162901) by changing a digit.

162900 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 17 ways as a sum of consecutive naturals, for example, 810 + ... + 990.

2¹⁶²⁹⁰⁰ is an apocalyptic number.

162900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256711).

162900 is an abundant number, since it is smaller than the sum of its proper divisors (350522).

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

162900 is a wasteful number, since it uses less digits than its factorization.

162900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 162900 is about 403.6087214122. The cubic root of 162900 is about 54.6143825573.

It can be divided in two parts, 16 and 2900, that added together give a square (2916 = 54²).

The spelling of 162900 in words is "one hundred sixty-two thousand, nine hundred".