966382417 has 32 divisors (see below), whose sum is σ = 1319592960. Its totient is φ = 683277120.

The previous prime is 966382411. The next prime is 966382433. The reversal of 966382417 is 714283669.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-966382417 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (966382411) 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, 50878 + ... + 67240.

It is an arithmetic number, because the mean of its divisors is an integer number (41237280).

Almost surely, 2^966382417 is an apocalyptic number.

It is an amenable number.

966382417 is a deficient number, since it is larger than the sum of its proper divisors (353210543).

966382417 is a wasteful number, since it uses less digits than its factorization.

966382417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16453.

The product of its digits is 435456, while the sum is 46.

The square root of 966382417 is about 31086.6919597438. The cubic root of 966382417 is about 988.6661685635. Note that the first 3 decimals are identical.

It can be divided in two parts, 966 and 382417, that added together give a palindrome (383383).

The spelling of 966382417 in words is "nine hundred sixty-six million, three hundred eighty-two thousand, four hundred seventeen".