7838404961 has 2 divisors, whose sum is σ = 7838404962. Its totient is φ = 7838404960.

The previous prime is 7838404909. The next prime is 7838404967. The reversal of 7838404961 is 1694048387.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7264323361 + 574081600 = 85231^2 + 23960^2 .

It is an emirp because it is prime and its reverse (1694048387) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7838404961 - 2¹⁸ = 7838142817 is a prime.

It is a super-2 number, since 2×7838404961² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7838404967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3919202480 + 3919202481.

It is an arithmetic number, because the mean of its divisors is an integer number (3919202481).

Almost surely, 2^7838404961 is an apocalyptic number.

It is an amenable number.

7838404961 is a deficient number, since it is larger than the sum of its proper divisors (1).

7838404961 is an equidigital number, since it uses as much as digits as its factorization.

7838404961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 50.

The square root of 7838404961 is about 88534.7669619116. The cubic root of 7838404961 is about 1986.4420453662.

The spelling of 7838404961 in words is "seven billion, eight hundred thirty-eight million, four hundred four thousand, nine hundred sixty-one".