90162 has 12 divisors (see below), whose sum is σ = 195390. Its totient is φ = 30048.

The previous prime is 90149. The next prime is 90163. The reversal of 90162 is 26109.

90162 is nontrivially palindromic in base 8 and base 11.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 12321 = 279^2 + 111^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5009 = 90162 / (9 + 0 + 1 + 6 + 2).

90162 is a modest number, since divided by 162 gives 90 as remainder.

It is not an unprimeable number, because it can be changed into a prime (90163) by changing a digit.

90162 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 5 ways as a sum of consecutive naturals, for example, 2487 + ... + 2522.

2⁹⁰¹⁶² is an apocalyptic number.

90162 is an abundant number, since it is smaller than the sum of its proper divisors (105228).

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

90162 is a wasteful number, since it uses less digits than its factorization.

90162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 5014 counting only the distinct ones).

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

The square root of 90162 is about 300.2698786092. The cubic root of 90162 is about 44.8409197771.

It can be divided in two parts, 90 and 162, that added together give a palindrome (252).

The spelling of 90162 in words is "ninety thousand, one hundred sixty-two".