37641265 has 8 divisors (see below), whose sum is σ = 45246888. Its totient is φ = 30061440.

The previous prime is 37641259. The next prime is 37641269. The reversal of 37641265 is 56214673.

It is a happy number.

37641265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1062961 + 36578304 = 1031^2 + 6048^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 37641265 - 2⁷ = 37641137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37641265.

It is not an unprimeable number, because it can be changed into a prime (37641269) 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 in 7 ways as a sum of consecutive naturals, for example, 3076 + ... + 9205.

It is an arithmetic number, because the mean of its divisors is an integer number (5655861).

Almost surely, 2^37641265 is an apocalyptic number.

It is an amenable number.

37641265 is a deficient number, since it is larger than the sum of its proper divisors (7605623).

37641265 is a wasteful number, since it uses less digits than its factorization.

37641265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12899.

The product of its digits is 30240, while the sum is 34.

The square root of 37641265 is about 6135.2477537586. The cubic root of 37641265 is about 335.1362481357.

The spelling of 37641265 in words is "thirty-seven million, six hundred forty-one thousand, two hundred sixty-five".