37561 has 2 divisors, whose sum is σ = 37562. Its totient is φ = 37560.

The previous prime is 37549. The next prime is 37567. The reversal of 37561 is 16573.

37561 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., 24336 + 13225 = 156^2 + 115^2 .

It is an emirp because it is prime and its reverse (16573) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37561 - 2⁵ = 37529 is a prime.

It is not a weakly prime, because it can be changed into another prime (37567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18780 + 18781.

It is an arithmetic number, because the mean of its divisors is an integer number (18781).

2³⁷⁵⁶¹ is an apocalyptic number.

It is an amenable number.

37561 is a deficient number, since it is larger than the sum of its proper divisors (1).

37561 is an equidigital number, since it uses as much as digits as its factorization.

37561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 630, while the sum is 22.

The square root of 37561 is about 193.8066046346. The cubic root of 37561 is about 33.4897867433.

The spelling of 37561 in words is "thirty-seven thousand, five hundred sixty-one".