37742561 has 2 divisors, whose sum is σ = 37742562. Its totient is φ = 37742560.

The previous prime is 37742557. The next prime is 37742581. The reversal of 37742561 is 16524773.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36966400 + 776161 = 6080^2 + 881^2 .

It is an emirp because it is prime and its reverse (16524773) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37742561 - 2² = 37742557 is a prime.

It is not a weakly prime, because it can be changed into another prime (37742581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18871280 + 18871281.

It is an arithmetic number, because the mean of its divisors is an integer number (18871281).

Almost surely, 2^37742561 is an apocalyptic number.

It is an amenable number.

37742561 is a deficient number, since it is larger than the sum of its proper divisors (1).

37742561 is an equidigital number, since it uses as much as digits as its factorization.

37742561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 35.

The square root of 37742561 is about 6143.4974566610. The cubic root of 37742561 is about 335.4366060409.

The spelling of 37742561 in words is "thirty-seven million, seven hundred forty-two thousand, five hundred sixty-one".