45801 has 12 divisors (see below), whose sum is σ = 75712. Its totient is φ = 26136.

The previous prime is 45779. The next prime is 45817. The reversal of 45801 is 10854.

It is not a de Polignac number, because 45801 - 2⁶ = 45737 is a prime.

45801 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301 + ... + 426.

2⁴⁵⁸⁰¹ is an apocalyptic number.

It is an amenable number.

45801 is a deficient number, since it is larger than the sum of its proper divisors (29911).

45801 is a wasteful number, since it uses less digits than its factorization.

45801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 737 counting only the distinct ones).

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

The square root of 45801 is about 214.0116819241. The cubic root of 45801 is about 35.7787354341.

The spelling of 45801 in words is "forty-five thousand, eight hundred one".