45506173 has 2 divisors, whose sum is σ = 45506174. Its totient is φ = 45506172.

The previous prime is 45506141. The next prime is 45506179. The reversal of 45506173 is 37160554.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43797924 + 1708249 = 6618^2 + 1307^2 .

It is a cyclic number.

It is not a de Polignac number, because 45506173 - 2⁵ = 45506141 is a prime.

It is a super-3 number, since 3×45506173³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45506179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22753086 + 22753087.

It is an arithmetic number, because the mean of its divisors is an integer number (22753087).

Almost surely, 2^45506173 is an apocalyptic number.

It is an amenable number.

45506173 is a deficient number, since it is larger than the sum of its proper divisors (1).

45506173 is an equidigital number, since it uses as much as digits as its factorization.

45506173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 45506173 is about 6745.8263393005. The cubic root of 45506173 is about 357.0179932189.

The spelling of 45506173 in words is "forty-five million, five hundred six thousand, one hundred seventy-three".