37566241 has 8 divisors (see below), whose sum is σ = 38390760. Its totient is φ = 36746112.

The previous prime is 37566197. The next prime is 37566253. The reversal of 37566241 is 14266573.

It is a happy number.

37566241 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 16443025 + 21123216 = 4055^2 + 4596^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 37566241 - 2¹⁵ = 37533473 is a prime.

It is a super-2 number, since 2×37566241² = 2822444925740162, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37566197 and 37566206.

It is not an unprimeable number, because it can be changed into a prime (37566541) 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, 20811 + ... + 22543.

It is an arithmetic number, because the mean of its divisors is an integer number (4798845).

Almost surely, 2^37566241 is an apocalyptic number.

It is an amenable number.

37566241 is a deficient number, since it is larger than the sum of its proper divisors (824519).

37566241 is a wasteful number, since it uses less digits than its factorization.

37566241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195.

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

The square root of 37566241 is about 6129.1305256129. The cubic root of 37566241 is about 334.9134431458.

The spelling of 37566241 in words is "thirty-seven million, five hundred sixty-six thousand, two hundred forty-one".