45705735 has 64 divisors (see below), whose sum is σ = 86860800. Its totient is φ = 22737024.

The previous prime is 45705733. The next prime is 45705739. The reversal of 45705735 is 53750754.

45705735 is a `hidden beast` number, since 4 + 570 + 57 + 35 = 666.

45705735 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45705735 - 2¹ = 45705733 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45705735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45705731) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 264109 + ... + 264281.

It is an arithmetic number, because the mean of its divisors is an integer number (1357200).

Almost surely, 2^45705735 is an apocalyptic number.

45705735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45705735 is a deficient number, since it is larger than the sum of its proper divisors (41155065).

45705735 is a wasteful number, since it uses less digits than its factorization.

45705735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 45705735 is about 6760.6016744074. The cubic root of 45705735 is about 357.5391190668.

The spelling of 45705735 in words is "forty-five million, seven hundred five thousand, seven hundred thirty-five".