37661873 has 2 divisors, whose sum is σ = 37661874. Its totient is φ = 37661872.

The previous prime is 37661867. The next prime is 37661881. The reversal of 37661873 is 37816673.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19963024 + 17698849 = 4468^2 + 4207^2 .

It is an emirp because it is prime and its reverse (37816673) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37661873 - 2¹⁸ = 37399729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37661873.

It is not a weakly prime, because it can be changed into another prime (37661843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18830936 + 18830937.

It is an arithmetic number, because the mean of its divisors is an integer number (18830937).

Almost surely, 2^37661873 is an apocalyptic number.

It is an amenable number.

37661873 is a deficient number, since it is larger than the sum of its proper divisors (1).

37661873 is an equidigital number, since it uses as much as digits as its factorization.

37661873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 127008, while the sum is 41.

The square root of 37661873 is about 6136.9269997288. The cubic root of 37661873 is about 335.1973975842.

The spelling of 37661873 in words is "thirty-seven million, six hundred sixty-one thousand, eight hundred seventy-three".