65065300 has 36 divisors (see below), whose sum is σ = 142045596. Its totient is φ = 25868800.

The previous prime is 65065283. The next prime is 65065303. The reversal of 65065300 is 356056.

It can be written as a sum of positive squares in 6 ways, for example, as 327184 + 64738116 = 572^2 + 8046^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65065303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15420 + ... + 19180.

It is an arithmetic number, because the mean of its divisors is an integer number (3945711).

Almost surely, 2^65065300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65065300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71022798).

65065300 is an abundant number, since it is smaller than the sum of its proper divisors (76980296).

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

65065300 is a wasteful number, since it uses less digits than its factorization.

65065300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 65065300 is about 8066.3064657872. The cubic root of 65065300 is about 402.2071735611.

The spelling of 65065300 in words is "sixty-five million, sixty-five thousand, three hundred".