9162 has 12 divisors (see below), whose sum is σ = 19890. Its totient is φ = 3048.

The previous prime is 9161. The next prime is 9173. The reversal of 9162 is 2619.

Added to its reverse (2619) it gives a triangular number (11781 = T₁₅₃).

9162 is nontrivially palindromic in base 8.

9162 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 only one way, i.e., 6561 + 2601 = 81^2 + 51^2 .

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: 509 = 9162 / (9 + 1 + 6 + 2).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (9161) 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 5 ways as a sum of consecutive naturals, for example, 237 + ... + 272.

2⁹¹⁶² is an apocalyptic number.

9162 is an abundant number, since it is smaller than the sum of its proper divisors (10728).

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

9162 is a wasteful number, since it uses less digits than its factorization.

9162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 514 counting only the distinct ones).

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

The square root of 9162 is about 95.7183368013. The cubic root of 9162 is about 20.9249018293.

Adding to 9162 its sum of digits (18), we get a triangular number (9180 = T₁₃₅).

Adding to 9162 its reverse (2619), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 91 and 62, that added together give a triangular number (153 = T₁₇).

The spelling of 9162 in words is "nine thousand, one hundred sixty-two".