65331306 has 32 divisors (see below), whose sum is σ = 153722880. Its totient is φ = 20495808.

The previous prime is 65331271. The next prime is 65331313. The reversal of 65331306 is 60313356.

65331306 is a `hidden beast` number, since 653 + 3 + 1 + 3 + 0 + 6 = 666.

65331306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 65331306.

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 15 ways as a sum of consecutive naturals, for example, 34666 + ... + 36501.

It is an arithmetic number, because the mean of its divisors is an integer number (4803840).

Almost surely, 2^65331306 is an apocalyptic number.

65331306 is an abundant number, since it is smaller than the sum of its proper divisors (88391574).

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

65331306 is a wasteful number, since it uses less digits than its factorization.

65331306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71195 (or 71189 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 65331306 is about 8082.7783589555. The cubic root of 65331306 is about 402.7545418725.

It can be divided in two parts, 6533130 and 6, that added together give a square (6533136 = 2556²).

The spelling of 65331306 in words is "sixty-five million, three hundred thirty-one thousand, three hundred six".