36782145 has 24 divisors (see below), whose sum is σ = 64634856. Its totient is φ = 19346688.

The previous prime is 36782113. The next prime is 36782147. The reversal of 36782145 is 54128763.

It can be written as a sum of positive squares in 4 ways, for example, as 1640961 + 35141184 = 1281^2 + 5928^2 .

It is not a de Polignac number, because 36782145 - 2⁵ = 36782113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36782147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2314 + ... + 8883.

It is an arithmetic number, because the mean of its divisors is an integer number (2693119).

Almost surely, 2^36782145 is an apocalyptic number.

It is an amenable number.

36782145 is a deficient number, since it is larger than the sum of its proper divisors (27852711).

36782145 is a wasteful number, since it uses less digits than its factorization.

36782145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11281 (or 11278 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 36782145 is about 6064.8285218957. The cubic root of 36782145 is about 332.5668962957.

The spelling of 36782145 in words is "thirty-six million, seven hundred eighty-two thousand, one hundred forty-five".