33162144 has 48 divisors (see below), whose sum is σ = 91637280. Its totient is φ = 10471680.

The previous prime is 33162139. The next prime is 33162149. The reversal of 33162144 is 44126133.

It is an interprime number because it is at equal distance from previous prime (33162139) and next prime (33162149).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (33162149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7267 + ... + 10914.

It is an arithmetic number, because the mean of its divisors is an integer number (1909110).

Almost surely, 2^33162144 is an apocalyptic number.

It is an amenable number.

33162144 is an abundant number, since it is smaller than the sum of its proper divisors (58475136).

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

33162144 is a wasteful number, since it uses less digits than its factorization.

33162144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18213 (or 18205 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 33162144 is about 5758.6581770409. The cubic root of 33162144 is about 321.2779107405.

Adding to 33162144 its reverse (44126133), we get a palindrome (77288277).

It can be divided in two parts, 3316 and 2144, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 33162144 in words is "thirty-three million, one hundred sixty-two thousand, one hundred forty-four".