33241000 has 64 divisors (see below), whose sum is σ = 83800080. Its totient is φ = 12268800.

The previous prime is 33240997. The next prime is 33241007. The reversal of 33241000 is 14233.

It can be written as a sum of positive squares in 8 ways, for example, as 86436 + 33154564 = 294^2 + 5758^2 .

It is a super-3 number, since 3×33241000³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (33241007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11722 + ... + 14278.

Almost surely, 2^33241000 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 33241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41900040).

33241000 is an abundant number, since it is smaller than the sum of its proper divisors (50559080).

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

33241000 is a wasteful number, since it uses less digits than its factorization.

33241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 33241000 is about 5765.5008455467. The cubic root of 33241000 is about 321.5323638941.

Adding to 33241000 its reverse (14233), we get a palindrome (33255233).

The spelling of 33241000 in words is "thirty-three million, two hundred forty-one thousand".