75181 has 2 divisors, whose sum is σ = 75182. Its totient is φ = 75180.

The previous prime is 75169. The next prime is 75193. The reversal of 75181 is 18157.

75181 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a balanced prime because it is at equal distance from previous prime (75169) and next prime (75193).

It can be written as a sum of positive squares in only one way, i.e., 67081 + 8100 = 259^2 + 90^2 .

It is a cyclic number.

It is not a de Polignac number, because 75181 - 2⁵ = 75149 is a prime.

It is a super-2 number, since 2×75181² = 11304365522, which contains 22 as substring.

75181 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37590 + 37591.

It is an arithmetic number, because the mean of its divisors is an integer number (37591).

2⁷⁵¹⁸¹ is an apocalyptic number.

It is an amenable number.

75181 is a deficient number, since it is larger than the sum of its proper divisors (1).

75181 is an equidigital number, since it uses as much as digits as its factorization.

75181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 280, while the sum is 22.

The square root of 75181 is about 274.1915388921. The cubic root of 75181 is about 42.2055307471.

It can be divided in two parts, 75 and 181, that added together give a 8-th power (256 = 2⁸).

The spelling of 75181 in words is "seventy-five thousand, one hundred eighty-one".