66037133 has 8 divisors (see below), whose sum is σ = 66992376. Its totient is φ = 65088000.

The previous prime is 66037109. The next prime is 66037157. The reversal of 66037133 is 33173066.

It is an interprime number because it is at equal distance from previous prime (66037109) and next prime (66037157).

It can be written as a sum of positive squares in 4 ways, for example, as 55160329 + 10876804 = 7427^2 + 3298^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66037133 - 2²⁰ = 64988557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66037096 and 66037105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66037033) 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 7 ways as a sum of consecutive naturals, for example, 22985 + ... + 25697.

It is an arithmetic number, because the mean of its divisors is an integer number (8374047).

Almost surely, 2^66037133 is an apocalyptic number.

It is an amenable number.

66037133 is a deficient number, since it is larger than the sum of its proper divisors (955243).

66037133 is a wasteful number, since it uses less digits than its factorization.

66037133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055.

The product of its (nonzero) digits is 6804, while the sum is 29.

The square root of 66037133 is about 8126.3234614431. The cubic root of 66037133 is about 404.1997774317.

The spelling of 66037133 in words is "sixty-six million, thirty-seven thousand, one hundred thirty-three".