45162 has 24 divisors (see below), whose sum is σ = 105924. Its totient is φ = 13824.

The previous prime is 45161. The next prime is 45179. The reversal of 45162 is 26154.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 4761 = 201^2 + 69^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138 + ... + 330.

2⁴⁵¹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52962).

45162 is an abundant number, since it is smaller than the sum of its proper divisors (60762).

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

45162 is a wasteful number, since it uses less digits than its factorization.

45162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 211 counting only the distinct ones).

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

The square root of 45162 is about 212.5135289811. The cubic root of 45162 is about 35.6115646475.

The spelling of 45162 in words is "forty-five thousand, one hundred sixty-two".