45807 has 4 divisors (see below), whose sum is σ = 61080. Its totient is φ = 30536.

The previous prime is 45779. The next prime is 45817. The reversal of 45807 is 70854.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 45807 - 2¹¹ = 43759 is a prime.

It is a D-number.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45807.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7632 + ... + 7637.

It is an arithmetic number, because the mean of its divisors is an integer number (15270).

2⁴⁵⁸⁰⁷ is an apocalyptic number.

45807 is a deficient number, since it is larger than the sum of its proper divisors (15273).

45807 is a wasteful number, since it uses less digits than its factorization.

45807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15272.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 45807 is about 214.0256993915. The cubic root of 45807 is about 35.7802977220.

It can be divided in two parts, 45 and 807, that multiplied together give a triangular number (36315 = T₂₆₉).

The spelling of 45807 in words is "forty-five thousand, eight hundred seven".