37640461 has 2 divisors, whose sum is σ = 37640462. Its totient is φ = 37640460.

The previous prime is 37640429. The next prime is 37640483. The reversal of 37640461 is 16404673.

37640461 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., 32844361 + 4796100 = 5731^2 + 2190^2 .

It is a cyclic number.

It is not a de Polignac number, because 37640461 - 2⁵ = 37640429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37640401) 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, 18820230 + 18820231.

It is an arithmetic number, because the mean of its divisors is an integer number (18820231).

Almost surely, 2^37640461 is an apocalyptic number.

It is an amenable number.

37640461 is a deficient number, since it is larger than the sum of its proper divisors (1).

37640461 is an equidigital number, since it uses as much as digits as its factorization.

37640461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 37640461 is about 6135.1822303824. The cubic root of 37640461 is about 335.1338620004.

The spelling of 37640461 in words is "thirty-seven million, six hundred forty thousand, four hundred sixty-one".