45213 has 8 divisors (see below), whose sum is σ = 68928. Its totient is φ = 25824.

The previous prime is 45197. The next prime is 45233. The reversal of 45213 is 31254.

45213 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 45213 - 2⁴ = 45197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45192 and 45201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (8616).

2⁴⁵²¹³ is an apocalyptic number.

It is an amenable number.

45213 is a deficient number, since it is larger than the sum of its proper divisors (23715).

45213 is a wasteful number, since it uses less digits than its factorization.

45213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163.

The product of its digits is 120, while the sum is 15.

The square root of 45213 is about 212.6334874849. The cubic root of 45213 is about 35.6249646045.

Adding to 45213 its reverse (31254), we get a palindrome (76467).

It can be divided in two parts, 452 and 13, that added together give a triangular number (465 = T₃₀).

The spelling of 45213 in words is "forty-five thousand, two hundred thirteen".