65693312 has 32 divisors (see below), whose sum is σ = 131448420. Its totient is φ = 32702464.

The previous prime is 65693311. The next prime is 65693333. The reversal of 65693312 is 21339656.

It can be written as a sum of positive squares in 2 ways, for example, as 65674816 + 18496 = 8104^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×65693312² = 8631222483058688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65693311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31898 + ... + 33894.

Almost surely, 2^65693312 is an apocalyptic number.

It is an amenable number.

65693312 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

65693312 is a wasteful number, since it uses less digits than its factorization.

65693312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2256 counting only the distinct ones).

The product of its digits is 29160, while the sum is 35.

The square root of 65693312 is about 8105.1410845216. The cubic root of 65693312 is about 403.4970704797.

The spelling of 65693312 in words is "sixty-five million, six hundred ninety-three thousand, three hundred twelve".