66312333 has 6 divisors (see below), whose sum is σ = 95784494. Its totient is φ = 44208216.

The previous prime is 66312329. The next prime is 66312341. The reversal of 66312333 is 33321366.

66312333 is a `hidden beast` number, since 6 + 631 + 23 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57562569 + 8749764 = 7587^2 + 2958^2 .

It is not a de Polignac number, because 66312333 - 2² = 66312329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66312297 and 66312306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66312343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3684010 + ... + 3684027.

Almost surely, 2^66312333 is an apocalyptic number.

It is an amenable number.

66312333 is a deficient number, since it is larger than the sum of its proper divisors (29472161).

66312333 is a wasteful number, since it uses less digits than its factorization.

66312333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368043 (or 7368040 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 66312333 is about 8143.2384835519. The cubic root of 66312333 is about 404.7604802307.

Adding to 66312333 its reverse (33321366), we get a palindrome (99633699).

It can be divided in two parts, 663 and 12333, that added together give a square (12996 = 114²).

The spelling of 66312333 in words is "sixty-six million, three hundred twelve thousand, three hundred thirty-three".