54162 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 16704.

The previous prime is 54151. The next prime is 54163. The reversal of 54162 is 26145.

It is a happy number.

54162 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

54162 is a modest number, since divided by 162 gives 54 as remainder.

It is not an unprimeable number, because it can be changed into a prime (54163) by changing a digit.

54162 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 15 ways as a sum of consecutive naturals, for example, 889 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁵⁴¹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

54162 is an abundant number, since it is smaller than the sum of its proper divisors (75438).

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

54162 is a wasteful number, since it uses less digits than its factorization.

54162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 54162 is about 232.7273082386. The cubic root of 54162 is about 37.8353913936.

It can be divided in two parts, 54 and 162, that added together give a cube (216 = 6³).

The spelling of 54162 in words is "fifty-four thousand, one hundred sixty-two".