36809825 has 24 divisors (see below), whose sum is σ = 50106168. Its totient is φ = 26657280.

The previous prime is 36809809. The next prime is 36809827. The reversal of 36809825 is 52890863.

It can be written as a sum of positive squares in 12 ways, for example, as 22619536 + 14190289 = 4756^2 + 3767^2 .

It is not a de Polignac number, because 36809825 - 2⁴ = 36809809 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36809827) 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 in 23 ways as a sum of consecutive naturals, for example, 16157 + ... + 18293.

It is an arithmetic number, because the mean of its divisors is an integer number (2087757).

Almost surely, 2^36809825 is an apocalyptic number.

It is an amenable number.

36809825 is a deficient number, since it is larger than the sum of its proper divisors (13296343).

36809825 is a wasteful number, since it uses less digits than its factorization.

36809825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 36809825 is about 6067.1101028414. The cubic root of 36809825 is about 332.6502985687.

The spelling of 36809825 in words is "thirty-six million, eight hundred nine thousand, eight hundred twenty-five".