7967461 has 2 divisors, whose sum is σ = 7967462. Its totient is φ = 7967460.

The previous prime is 7967459. The next prime is 7967497. The reversal of 7967461 is 1647697.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4284900 + 3682561 = 2070^2 + 1919^2 .

It is a cyclic number.

It is not a de Polignac number, because 7967461 - 2¹ = 7967459 is a prime.

It is a super-3 number, since 3×7967461³ (a number of 22 digits) contains 333 as substring.

Together with 7967459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7967261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3983730 + 3983731.

It is an arithmetic number, because the mean of its divisors is an integer number (3983731).

Almost surely, 2^7967461 is an apocalyptic number.

It is an amenable number.

7967461 is a deficient number, since it is larger than the sum of its proper divisors (1).

7967461 is an equidigital number, since it uses as much as digits as its factorization.

7967461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 40.

The square root of 7967461 is about 2822.6691269081. The cubic root of 7967461 is about 199.7284731995.

The spelling of 7967461 in words is "seven million, nine hundred sixty-seven thousand, four hundred sixty-one".