33540045 has 64 divisors (see below), whose sum is σ = 68014080. Its totient is φ = 13708800.

The previous prime is 33540011. The next prime is 33540053. The reversal of 33540045 is 54004533.

It is a happy number.

It is not a de Polignac number, because 33540045 - 2⁹ = 33539533 is a prime.

It is a super-2 number, since 2×33540045² = 2249869237204050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33539997 and 33540024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81801 + ... + 82209.

It is an arithmetic number, because the mean of its divisors is an integer number (1062720).

Almost surely, 2^33540045 is an apocalyptic number.

33540045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33540045 is an abundant number, since it is smaller than the sum of its proper divisors (34474035).

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

33540045 is a wasteful number, since it uses less digits than its factorization.

33540045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 33540045 is about 5791.3767793160. The cubic root of 33540045 is about 322.4936841501.

Adding to 33540045 its reverse (54004533), we get a palindrome (87544578).

The spelling of 33540045 in words is "thirty-three million, five hundred forty thousand, forty-five".