37008641 has 2 divisors, whose sum is σ = 37008642. Its totient is φ = 37008640.

The previous prime is 37008613. The next prime is 37008659. The reversal of 37008641 is 14680073.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31584400 + 5424241 = 5620^2 + 2329^2 .

It is an emirp because it is prime and its reverse (14680073) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37008641 - 2¹⁸ = 36746497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (37008341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18504320 + 18504321.

It is an arithmetic number, because the mean of its divisors is an integer number (18504321).

Almost surely, 2^37008641 is an apocalyptic number.

It is an amenable number.

37008641 is a deficient number, since it is larger than the sum of its proper divisors (1).

37008641 is an equidigital number, since it uses as much as digits as its factorization.

37008641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 37008641 is about 6083.4727746576. The cubic root of 37008641 is about 333.2481234419.

The spelling of 37008641 in words is "thirty-seven million, eight thousand, six hundred forty-one".