33121536 has 144 divisors (see below), whose sum is σ = 103410048. Its totient is φ = 9216000.

The previous prime is 33121519. The next prime is 33121537. The reversal of 33121536 is 63512133.

It is a happy number.

It is a super-2 number, since 2×33121536² = 2194072293998592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33121537) 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 15 ways as a sum of consecutive naturals, for example, 327886 + ... + 327986.

Almost surely, 2^33121536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51705024).

33121536 is an abundant number, since it is smaller than the sum of its proper divisors (70288512).

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

33121536 is a wasteful number, since it uses less digits than its factorization.

33121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 33121536 is about 5755.1312756531. The cubic root of 33121536 is about 321.1467191597.

Adding to 33121536 its reverse (63512133), we get a palindrome (96633669).

The spelling of 33121536 in words is "thirty-three million, one hundred twenty-one thousand, five hundred thirty-six".