45121 has 2 divisors, whose sum is σ = 45122. Its totient is φ = 45120.

The previous prime is 45119. The next prime is 45127. The reversal of 45121 is 12154.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26896 + 18225 = 164^2 + 135^2 .

It is a cyclic number.

It is not a de Polignac number, because 45121 - 2¹ = 45119 is a prime.

Together with 45119, it forms a pair of twin primes.

45121 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (45127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22560 + 22561.

It is an arithmetic number, because the mean of its divisors is an integer number (22561).

2⁴⁵¹²¹ is an apocalyptic number.

It is an amenable number.

45121 is a deficient number, since it is larger than the sum of its proper divisors (1).

45121 is an equidigital number, since it uses as much as digits as its factorization.

45121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40, while the sum is 13.

The square root of 45121 is about 212.4170426308. The cubic root of 45121 is about 35.6007848163.

Adding to 45121 its reverse (12154), we get a palindrome (57275).

It can be divided in two parts, 45 and 121, that multiplied together give a palindrome (5445).

The spelling of 45121 in words is "forty-five thousand, one hundred twenty-one".