36827521 has 2 divisors, whose sum is σ = 36827522. Its totient is φ = 36827520.

The previous prime is 36827513. The next prime is 36827533. The reversal of 36827521 is 12572863.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26010000 + 10817521 = 5100^2 + 3289^2 .

It is a cyclic number.

It is not a de Polignac number, because 36827521 - 2³ = 36827513 is a prime.

It is not a weakly prime, because it can be changed into another prime (36827501) 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 as a sum of consecutive naturals, namely, 18413760 + 18413761.

It is an arithmetic number, because the mean of its divisors is an integer number (18413761).

Almost surely, 2^36827521 is an apocalyptic number.

It is an amenable number.

36827521 is a deficient number, since it is larger than the sum of its proper divisors (1).

36827521 is an equidigital number, since it uses as much as digits as its factorization.

36827521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 34.

The square root of 36827521 is about 6068.5682825523. The cubic root of 36827521 is about 332.7035962651.

It can be divided in two parts, 368 and 27521, that added together give a square (27889 = 167²).

The spelling of 36827521 in words is "thirty-six million, eight hundred twenty-seven thousand, five hundred twenty-one".