45191 has 2 divisors, whose sum is σ = 45192. Its totient is φ = 45190.

The previous prime is 45181. The next prime is 45197. The reversal of 45191 is 19154.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 45191 - 2⁶ = 45127 is a prime.

It is a Chen prime.

It is equal to p₄₆₉₁ and since 45191 and 4691 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45197) 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, 22595 + 22596.

It is an arithmetic number, because the mean of its divisors is an integer number (22596).

2⁴⁵¹⁹¹ is an apocalyptic number.

45191 is a deficient number, since it is larger than the sum of its proper divisors (1).

45191 is an equidigital number, since it uses as much as digits as its factorization.

45191 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 20.

The square root of 45191 is about 212.5817489814. The cubic root of 45191 is about 35.6191854674.

It can be divided in two parts, 451 and 91, that multiplied together give a triangular number (41041 = T₂₈₆).

The spelling of 45191 in words is "forty-five thousand, one hundred ninety-one".