4097777966 has 16 divisors (see below), whose sum is σ = 6492507648. Its totient is φ = 1936683000.

The previous prime is 4097777933. The next prime is 4097777987. The reversal of 4097777966 is 6697777904.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 4097777899 and 4097777908.

It is a congruent number.

It is an unprimeable number.

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, 765860 + ... + 771191.

It is an arithmetic number, because the mean of its divisors is an integer number (405781728).

Almost surely, 2^4097777966 is an apocalyptic number.

4097777966 is a deficient number, since it is larger than the sum of its proper divisors (2394729682).

4097777966 is a wasteful number, since it uses less digits than its factorization.

4097777966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537127.

The product of its (nonzero) digits is 28005264, while the sum is 62.

The square root of 4097777966 is about 64013.8888523420. Note that the first 4 decimals coincide. The cubic root of 4097777966 is about 1600.2314725008.

Subtracting from 4097777966 its sum of digits (62), we obtain a palindrome (4097777904).

The spelling of 4097777966 in words is "four billion, ninety-seven million, seven hundred seventy-seven thousand, nine hundred sixty-six".