66764313 has 36 divisors (see below), whose sum is σ = 122389488. Its totient is φ = 34680240.

The previous prime is 66764303. The next prime is 66764323. The reversal of 66764313 is 31346766.

It is a happy number.

66764313 is a `hidden beast` number, since 6 + 6 + 7 + 643 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (66764303) and next prime (66764323).

It is not a de Polignac number, because 66764313 - 2⁶ = 66764249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66764303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2031 + ... + 11732.

It is an arithmetic number, because the mean of its divisors is an integer number (3399708).

Almost surely, 2^66764313 is an apocalyptic number.

66764313 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

66764313 is a deficient number, since it is larger than the sum of its proper divisors (55625175).

66764313 is a wasteful number, since it uses less digits than its factorization.

66764313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794 (or 13784 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 66764313 is about 8170.9432136076. The cubic root of 66764313 is about 405.6780047036.

It can be divided in two parts, 667 and 64313, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 66764313 in words is "sixty-six million, seven hundred sixty-four thousand, three hundred thirteen".