33124144 has 20 divisors (see below), whose sum is σ = 67556440. Its totient is φ = 15690240.

The previous prime is 33124121. The next prime is 33124153. The reversal of 33124144 is 44142133.

It is a super-3 number, since 3×33124144³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54177 + ... + 54784.

It is an arithmetic number, because the mean of its divisors is an integer number (3377822).

Almost surely, 2^33124144 is an apocalyptic number.

It is an amenable number.

33124144 is an abundant number, since it is smaller than the sum of its proper divisors (34432296).

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

33124144 is a wasteful number, since it uses less digits than its factorization.

33124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108988 (or 108982 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 33124144 is about 5755.3578516023. The cubic root of 33124144 is about 321.1551480025.

Adding to 33124144 its reverse (44142133), we get a palindrome (77266277).

It can be divided in two parts, 33124 and 144, that multiplied together give a square (4769856 = 2184²).

The spelling of 33124144 in words is "thirty-three million, one hundred twenty-four thousand, one hundred forty-four".