45675 has 36 divisors (see below), whose sum is σ = 96720. Its totient is φ = 20160.

The previous prime is 45673. The next prime is 45677. The reversal of 45675 is 57654.

45675 = T₄₁ + T₄₂ + ... + T₆₉.

It is an interprime number because it is at equal distance from previous prime (45673) and next prime (45677).

It is not a de Polignac number, because 45675 - 2¹ = 45673 is a prime.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1561 + ... + 1589.

2⁴⁵⁶⁷⁵ is an apocalyptic number.

45675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45675 is an abundant number, since it is smaller than the sum of its proper divisors (51045).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360).

45675 is a wasteful number, since it uses less digits than its factorization.

45675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 45675 is about 213.7171027316. The cubic root of 45675 is about 35.7458958237.

The spelling of 45675 in words is "forty-five thousand, six hundred seventy-five".