45813 has 4 divisors (see below), whose sum is σ = 61088. Its totient is φ = 30540.

The previous prime is 45779. The next prime is 45817. The reversal of 45813 is 31854.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 45813 - 2⁸ = 45557 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

45813 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 45813.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7633 + ... + 7638.

It is an arithmetic number, because the mean of its divisors is an integer number (15272).

2⁴⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

45813 is a deficient number, since it is larger than the sum of its proper divisors (15275).

45813 is a wasteful number, since it uses less digits than its factorization.

45813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15274.

The product of its digits is 480, while the sum is 21.

The square root of 45813 is about 214.0397159408. The cubic root of 45813 is about 35.7818598734.

It can be divided in two parts, 45 and 813, that multiplied together give a triangular number (36585 = T₂₇₀).

The spelling of 45813 in words is "forty-five thousand, eight hundred thirteen".