37661009 has 2 divisors, whose sum is σ = 37661010. Its totient is φ = 37661008.

The previous prime is 37660999. The next prime is 37661017. The reversal of 37661009 is 90016673.

37661009 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., 30558784 + 7102225 = 5528^2 + 2665^2 .

It is a cyclic number.

It is not a de Polignac number, because 37661009 - 2¹⁶ = 37595473 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37661089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18830504 + 18830505.

It is an arithmetic number, because the mean of its divisors is an integer number (18830505).

Almost surely, 2^37661009 is an apocalyptic number.

It is an amenable number.

37661009 is a deficient number, since it is larger than the sum of its proper divisors (1).

37661009 is an equidigital number, since it uses as much as digits as its factorization.

37661009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 37661009 is about 6136.8566057877. The cubic root of 37661009 is about 335.1948343132.

The spelling of 37661009 in words is "thirty-seven million, six hundred sixty-one thousand, nine".