45413 has 2 divisors, whose sum is σ = 45414. Its totient is φ = 45412.

The previous prime is 45403. The next prime is 45427. The reversal of 45413 is 31454.

45413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 20449 = 158^2 + 143^2 .

It is a cyclic number.

It is not a de Polignac number, because 45413 - 2¹⁰ = 44389 is a prime.

It is a plaindrome in base 12 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 45391 and 45400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22706 + 22707.

It is an arithmetic number, because the mean of its divisors is an integer number (22707).

2⁴⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

45413 is a deficient number, since it is larger than the sum of its proper divisors (1).

45413 is an equidigital number, since it uses as much as digits as its factorization.

45413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 240, while the sum is 17.

The square root of 45413 is about 213.1032613547. The cubic root of 45413 is about 35.6774164276.

Adding to 45413 its reverse (31454), we get a palindrome (76867).

The spelling of 45413 in words is "forty-five thousand, four hundred thirteen".