65813004 has 72 divisors (see below), whose sum is σ = 171312960. Its totient is φ = 21295872.

The previous prime is 65812993. The next prime is 65813039. The reversal of 65813004 is 40031856.

65813004 is a `hidden beast` number, since 658 + 1 + 3 + 0 + 0 + 4 = 666.

65813004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 207454 + ... + 207770.

Almost surely, 2^65813004 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 65813004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85656480).

65813004 is an abundant number, since it is smaller than the sum of its proper divisors (105499956).

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

65813004 is a wasteful number, since it uses less digits than its factorization.

65813004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 65813004 is about 8112.5214329455. The cubic root of 65813004 is about 403.7419765361.

The spelling of 65813004 in words is "sixty-five million, eight hundred thirteen thousand, four".