966882393 has 32 divisors (see below), whose sum is σ = 1522819200. Its totient is φ = 604584000.

The previous prime is 966882379. The next prime is 966882407. The reversal of 966882393 is 393288669.

966882393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (966882379) and next prime (966882407).

It is not a de Polignac number, because 966882393 - 2¹⁰ = 966881369 is a prime.

It is a super-4 number, since 4×966882393⁴ (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (966882373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42483 + ... + 61143.

It is an arithmetic number, because the mean of its divisors is an integer number (47588100).

Almost surely, 2^966882393 is an apocalyptic number.

It is an amenable number.

966882393 is a deficient number, since it is larger than the sum of its proper divisors (555936807).

966882393 is a wasteful number, since it uses less digits than its factorization.

966882393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18790 (or 18784 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 966882393 is about 31094.7325603550. The cubic root of 966882393 is about 988.8366408063.

The spelling of 966882393 in words is "nine hundred sixty-six million, eight hundred eighty-two thousand, three hundred ninety-three".