7838461 has 2 divisors, whose sum is σ = 7838462. Its totient is φ = 7838460.

The previous prime is 7838447. The next prime is 7838477. The reversal of 7838461 is 1648387.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5262436 + 2576025 = 2294^2 + 1605^2 .

It is a cyclic number.

It is not a de Polignac number, because 7838461 - 2⁵ = 7838429 is a prime.

It is a super-2 number, since 2×7838461² = 122882941697042, which contains 22 as substring.

It is a Chen prime.

7838461 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7838461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7838491) by changing a digit.

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 as a sum of consecutive naturals, namely, 3919230 + 3919231.

It is an arithmetic number, because the mean of its divisors is an integer number (3919231).

Almost surely, 2^7838461 is an apocalyptic number.

It is an amenable number.

7838461 is a deficient number, since it is larger than the sum of its proper divisors (1).

7838461 is an equidigital number, since it uses as much as digits as its factorization.

7838461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32256, while the sum is 37.

The square root of 7838461 is about 2799.7251650832. The cubic root of 7838461 is about 198.6446779236.

The spelling of 7838461 in words is "seven million, eight hundred thirty-eight thousand, four hundred sixty-one".