37641013 has 2 divisors, whose sum is σ = 37641014. Its totient is φ = 37641012.

The previous prime is 37641011. The next prime is 37641029. The reversal of 37641013 is 31014673.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21696964 + 15944049 = 4658^2 + 3993^2 .

It is a cyclic number.

It is not a de Polignac number, because 37641013 - 2¹ = 37641011 is a prime.

Together with 37641011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37641011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18820506 + 18820507.

It is an arithmetic number, because the mean of its divisors is an integer number (18820507).

Almost surely, 2^37641013 is an apocalyptic number.

It is an amenable number.

37641013 is a deficient number, since it is larger than the sum of its proper divisors (1).

37641013 is an equidigital number, since it uses as much as digits as its factorization.

37641013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 37641013 is about 6135.2272166563. The cubic root of 37641013 is about 335.1355002462.

Adding to 37641013 its reverse (31014673), we get a palindrome (68655686).

The spelling of 37641013 in words is "thirty-seven million, six hundred forty-one thousand, thirteen".