45810 has 24 divisors (see below), whose sum is σ = 119340. Its totient is φ = 12192.

The previous prime is 45779. The next prime is 45817. The reversal of 45810 is 1854.

It can be written as a sum of positive squares in 2 ways, for example, as 45369 + 441 = 213^2 + 21^2 .

It is a super-2 number, since 2×45810² = 4197112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45817) by changing a digit.

45810 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165 + ... + 344.

2⁴⁵⁸¹⁰ is an apocalyptic number.

45810 is an abundant number, since it is smaller than the sum of its proper divisors (73530).

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 (59670).

45810 is a wasteful number, since it uses less digits than its factorization.

45810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 45810 is about 214.0327077808. The cubic root of 45810 is about 35.7810788147.

Subtracting from 45810 its reverse (1854), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 45810 in words is "forty-five thousand, eight hundred ten".