65205000 has 400 divisors, whose sum is σ = 272162880. Its totient is φ = 14256000.

The previous prime is 65204957. The next prime is 65205011. The reversal of 65205000 is 50256.

65205000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 99 ways as a sum of consecutive naturals, for example, 2834989 + ... + 2835011.

Almost surely, 2^65205000 is an apocalyptic number.

65205000 is a gapful number since it is divisible by the number (60) 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 65205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136081440).

65205000 is an abundant number, since it is smaller than the sum of its proper divisors (206957880).

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

65205000 is a wasteful number, since it uses less digits than its factorization.

65205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 65205000 is about 8074.9613002169. The cubic root of 65205000 is about 402.4948239500.

Adding to 65205000 its reverse (50256), we get a palindrome (65255256).

The spelling of 65205000 in words is "sixty-five million, two hundred five thousand".