37061 has 2 divisors, whose sum is σ = 37062. Its totient is φ = 37060.

The previous prime is 37057. The next prime is 37087. The reversal of 37061 is 16073.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 961 = 190^2 + 31^2 .

It is an emirp because it is prime and its reverse (16073) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37061 - 2² = 37057 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37061.

It is not a weakly prime, because it can be changed into another prime (37021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18530 + 18531.

It is an arithmetic number, because the mean of its divisors is an integer number (18531).

2³⁷⁰⁶¹ is an apocalyptic number.

It is an amenable number.

37061 is a deficient number, since it is larger than the sum of its proper divisors (1).

37061 is an equidigital number, since it uses as much as digits as its factorization.

37061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 37061 is about 192.5123372670. The cubic root of 37061 is about 33.3405206724.

The spelling of 37061 in words is "thirty-seven thousand, sixty-one".