45905301 has 18 divisors (see below), whose sum is σ = 71802978. Its totient is φ = 28248480.

The previous prime is 45905291. The next prime is 45905303. The reversal of 45905301 is 10350954.

45905301 is a `hidden beast` number, since 45 + 90 + 530 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18225 + 45887076 = 135^2 + 6774^2 .

It is not a de Polignac number, because 45905301 - 2⁵ = 45905269 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45905303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13570 + ... + 16611.

Almost surely, 2^45905301 is an apocalyptic number.

It is an amenable number.

45905301 is a deficient number, since it is larger than the sum of its proper divisors (25897677).

45905301 is a wasteful number, since it uses less digits than its factorization.

45905301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30213 (or 30197 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 45905301 is about 6775.3450834625. The cubic root of 45905301 is about 358.0587406084.

The spelling of 45905301 in words is "forty-five million, nine hundred five thousand, three hundred one".