65337984 has 96 divisors (see below), whose sum is σ = 192535200. Its totient is φ = 21256704.

The previous prime is 65337973. The next prime is 65338001. The reversal of 65337984 is 48973356.

65337984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 48877 + ... + 50195.

It is an arithmetic number, because the mean of its divisors is an integer number (2005575).

Almost surely, 2^65337984 is an apocalyptic number.

65337984 is a gapful number since it is divisible by the number (64) 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 65337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96267600).

65337984 is an abundant number, since it is smaller than the sum of its proper divisors (127197216).

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

65337984 is a wasteful number, since it uses less digits than its factorization.

65337984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1367 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 65337984 is about 8083.1914489266. The cubic root of 65337984 is about 402.7682642534.

The spelling of 65337984 in words is "sixty-five million, three hundred thirty-seven thousand, nine hundred eighty-four".