45008667 has 48 divisors (see below), whose sum is σ = 74861280. Its totient is φ = 25804800.

The previous prime is 45008653. The next prime is 45008699. The reversal of 45008667 is 76680054.

It is a happy number.

It is not a de Polignac number, because 45008667 - 2⁴ = 45008651 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45008267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175003 + ... + 175259.

It is an arithmetic number, because the mean of its divisors is an integer number (1559610).

Almost surely, 2^45008667 is an apocalyptic number.

45008667 is a deficient number, since it is larger than the sum of its proper divisors (29852613).

45008667 is a wasteful number, since it uses less digits than its factorization.

45008667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 45008667 is about 6708.8499014362. The cubic root of 45008667 is about 355.7121642382.

The spelling of 45008667 in words is "forty-five million, eight thousand, six hundred sixty-seven".