33053265 has 80 divisors (see below), whose sum is σ = 68999040. Its totient is φ = 14826240.

The previous prime is 33053249. The next prime is 33053281. The reversal of 33053265 is 56235033.

33053265 is a `hidden beast` number, since 330 + 5 + 326 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (33053249) and next prime (33053281).

It is not a de Polignac number, because 33053265 - 2⁴ = 33053249 is a prime.

It is a super-3 number, since 3×33053265³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 252250 + ... + 252380.

It is an arithmetic number, because the mean of its divisors is an integer number (862488).

Almost surely, 2^33053265 is an apocalyptic number.

33053265 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33053265 is an abundant number, since it is smaller than the sum of its proper divisors (35945775).

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

33053265 is a wasteful number, since it uses less digits than its factorization.

33053265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 33053265 is about 5749.1969004375. The cubic root of 33053265 is about 320.9259152989.

Adding to 33053265 its reverse (56235033), we get a palindrome (89288298).

The spelling of 33053265 in words is "thirty-three million, fifty-three thousand, two hundred sixty-five".