36807641 has 16 divisors (see below), whose sum is σ = 41504400. Its totient is φ = 32406528.

The previous prime is 36807593. The next prime is 36807643. The reversal of 36807641 is 14670863.

36807641 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 8 ways, for example, as 7268416 + 29539225 = 2696^2 + 5435^2 .

It is a cyclic number.

It is not a de Polignac number, because 36807641 - 2¹⁰ = 36806617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36807643) 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 15 ways as a sum of consecutive naturals, for example, 33005 + ... + 34101.

It is an arithmetic number, because the mean of its divisors is an integer number (2594025).

Almost surely, 2^36807641 is an apocalyptic number.

It is an amenable number.

36807641 is a deficient number, since it is larger than the sum of its proper divisors (4696759).

36807641 is a wasteful number, since it uses less digits than its factorization.

36807641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 36807641 is about 6066.9301133275. The cubic root of 36807641 is about 332.6437195044.

The spelling of 36807641 in words is "thirty-six million, eight hundred seven thousand, six hundred forty-one".