65825000 has 48 divisors (see below), whose sum is σ = 154326060. Its totient is φ = 26320000.

The previous prime is 65824981. The next prime is 65825017. The reversal of 65825000 is 52856.

It can be written as a sum of positive squares in 6 ways, for example, as 17355556 + 48469444 = 4166^2 + 6962^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23684 + ... + 26316.

Almost surely, 2^65825000 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 65825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77163030).

65825000 is an abundant number, since it is smaller than the sum of its proper divisors (88501060).

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

65825000 is an equidigital number, since it uses as much as digits as its factorization.

65825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 65825000 is about 8113.2607501547. The cubic root of 65825000 is about 403.7665056018.

Adding to 65825000 its reverse (52856), we get a palindrome (65877856).

The spelling of 65825000 in words is "sixty-five million, eight hundred twenty-five thousand".