37645313 has 4 divisors (see below), whose sum is σ = 37691988. Its totient is φ = 37598640.

The previous prime is 37645249. The next prime is 37645351. The reversal of 37645313 is 31354673.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31354673 = 7 ⋅4479239.

It can be written as a sum of positive squares in 2 ways, for example, as 25170289 + 12475024 = 5017^2 + 3532^2 .

It is a cyclic number.

It is not a de Polignac number, because 37645313 - 2⁶ = 37645249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 37645313.

It is not an unprimeable number, because it can be changed into a prime (37645373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22106 + ... + 23747.

It is an arithmetic number, because the mean of its divisors is an integer number (9422997).

Almost surely, 2^37645313 is an apocalyptic number.

It is an amenable number.

37645313 is a deficient number, since it is larger than the sum of its proper divisors (46675).

37645313 is an equidigital number, since it uses as much as digits as its factorization.

37645313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46674.

The product of its digits is 22680, while the sum is 32.

The square root of 37645313 is about 6135.5776419177. The cubic root of 37645313 is about 335.1482613957.

Adding to 37645313 its reverse (31354673), we get a palindrome (68999986).

The spelling of 37645313 in words is "thirty-seven million, six hundred forty-five thousand, three hundred thirteen".