33141264 has 80 divisors (see below), whose sum is σ = 93035712. Its totient is φ = 10105344.

The previous prime is 33141257. The next prime is 33141289. The reversal of 33141264 is 46214133.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107799 + ... + 108105.

Almost surely, 2^33141264 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 33141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46517856).

33141264 is an abundant number, since it is smaller than the sum of its proper divisors (59894448).

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

33141264 is a wasteful number, since it uses less digits than its factorization.

33141264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

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

The square root of 33141264 is about 5756.8449692518. The cubic root of 33141264 is about 321.2104674615.

Adding to 33141264 its reverse (46214133), we get a palindrome (79355397).

The spelling of 33141264 in words is "thirty-three million, one hundred forty-one thousand, two hundred sixty-four".