4082784957 has 12 divisors (see below), whose sum is σ = 6244259580. Its totient is φ = 2561747328.

The previous prime is 4082784929. The next prime is 4082785013. The reversal of 4082784957 is 7594872804.

It is a happy number.

4082784957 is a `hidden beast` number, since 4 + 0 + 82 + 78 + 495 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2427434361 + 1655350596 = 49269^2 + 40686^2 .

It is not a de Polignac number, because 4082784957 - 2¹⁰ = 4082783933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082784557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13342282 + ... + 13342587.

It is an arithmetic number, because the mean of its divisors is an integer number (520354965).

Almost surely, 2^4082784957 is an apocalyptic number.

It is an amenable number.

4082784957 is a deficient number, since it is larger than the sum of its proper divisors (2161474623).

4082784957 is a wasteful number, since it uses less digits than its factorization.

4082784957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26684892 (or 26684889 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 4082784957 is about 63896.6740683739. The cubic root of 4082784957 is about 1598.2774374279.

The spelling of 4082784957 in words is "four billion, eighty-two million, seven hundred eighty-four thousand, nine hundred fifty-seven".