37181 has 2 divisors, whose sum is σ = 37182. Its totient is φ = 37180.

The previous prime is 37171. The next prime is 37189. The reversal of 37181 is 18173.

37181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28900 + 8281 = 170^2 + 91^2 .

It is a cyclic number.

It is not a de Polignac number, because 37181 - 2⁶ = 37117 is a prime.

It is a super-2 number, since 2×37181² = 2764853522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18590 + 18591.

It is an arithmetic number, because the mean of its divisors is an integer number (18591).

2³⁷¹⁸¹ is an apocalyptic number.

It is an amenable number.

37181 is a deficient number, since it is larger than the sum of its proper divisors (1).

37181 is an equidigital number, since it uses as much as digits as its factorization.

37181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 20.

The square root of 37181 is about 192.8237537234. The cubic root of 37181 is about 33.3764663843.

The spelling of 37181 in words is "thirty-seven thousand, one hundred eighty-one".