45185 has 8 divisors (see below), whose sum is σ = 62016. Its totient is φ = 30960.

The previous prime is 45181. The next prime is 45191. The reversal of 45185 is 58154.

45185 = T₇₀ + T₇₁ + ... + T₈₄.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 45185 - 2² = 45181 is a prime.

It is a Duffinian number.

45185 is a modest number, since divided by 185 gives 45 as remainder.

It is a Curzon number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 45185.

It is not an unprimeable number, because it can be changed into a prime (45181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 611 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (7752).

2⁴⁵¹⁸⁵ is an apocalyptic number.

It is an amenable number.

45185 is a deficient number, since it is larger than the sum of its proper divisors (16831).

45185 is a wasteful number, since it uses less digits than its factorization.

45185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303.

The product of its digits is 800, while the sum is 23.

The square root of 45185 is about 212.5676362949. The cubic root of 45185 is about 35.6176090136.

The spelling of 45185 in words is "forty-five thousand, one hundred eighty-five".