8133082973 has 8 divisors (see below), whose sum is σ = 8423806680. Its totient is φ = 7843044160.

The previous prime is 8133082907. The next prime is 8133083011. The reversal of 8133082973 is 3792803318.

It can be written as a sum of positive squares in 4 ways, for example, as 633176569 + 7499906404 = 25163^2 + 86602^2 .

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 8133082973 - 2¹⁰ = 8133081949 is a prime.

It is a super-2 number, since 2×8133082973² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8133085973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146990 + ... + 194607.

It is an arithmetic number, because the mean of its divisors is an integer number (1052975835).

Almost surely, 2^8133082973 is an apocalyptic number.

It is an amenable number.

8133082973 is a deficient number, since it is larger than the sum of its proper divisors (290723707).

8133082973 is a wasteful number, since it uses less digits than its factorization.

8133082973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342447.

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 8133082973 is about 90183.6070081476. The cubic root of 8133082973 is about 2011.0293130708.

The spelling of 8133082973 in words is "eight billion, one hundred thirty-three million, eighty-two thousand, nine hundred seventy-three".