45161 has 2 divisors, whose sum is σ = 45162. Its totient is φ = 45160.

The previous prime is 45139. The next prime is 45179. The reversal of 45161 is 16154.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42025 + 3136 = 205^2 + 56^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45161 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (45121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22580 + 22581.

It is an arithmetic number, because the mean of its divisors is an integer number (22581).

2⁴⁵¹⁶¹ is an apocalyptic number.

It is an amenable number.

45161 is a deficient number, since it is larger than the sum of its proper divisors (1).

45161 is an equidigital number, since it uses as much as digits as its factorization.

45161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120, while the sum is 17.

The square root of 45161 is about 212.5111761767. The cubic root of 45161 is about 35.6113018024.

It can be divided in two parts, 451 and 61, that added together give a 9-th power (512 = 2⁹).

The spelling of 45161 in words is "forty-five thousand, one hundred sixty-one".