36825000 has 96 divisors (see below), whose sum is σ = 115305120. Its totient is φ = 9800000.

The previous prime is 36824989. The next prime is 36825007. The reversal of 36825000 is 52863.

36825000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (36825007) 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 23 ways as a sum of consecutive naturals, for example, 74755 + ... + 75245.

It is an arithmetic number, because the mean of its divisors is an integer number (1201095).

Almost surely, 2^36825000 is an apocalyptic number.

36825000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57652560).

36825000 is an abundant number, since it is smaller than the sum of its proper divisors (78480120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36825000 is an equidigital number, since it uses as much as digits as its factorization.

36825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 36825000 is about 6068.3605693795. The cubic root of 36825000 is about 332.6960044345.

Adding to 36825000 its reverse (52863), we get a palindrome (36877863).

The spelling of 36825000 in words is "thirty-six million, eight hundred twenty-five thousand".