65213904 has 160 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 17461248.

The previous prime is 65213891. The next prime is 65213917. The reversal of 65213904 is 40931256.

65213904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65213891) and next prime (65213917).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 279772 + ... + 280004.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^65213904 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 65213904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

65213904 is an abundant number, since it is smaller than the sum of its proper divisors (143701296).

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

65213904 is a wasteful number, since it uses less digits than its factorization.

65213904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 65213904 is about 8075.5126153081. The cubic root of 65213904 is about 402.5131438682.

The spelling of 65213904 in words is "sixty-five million, two hundred thirteen thousand, nine hundred four".