7461735973 has 2 divisors, whose sum is σ = 7461735974. Its totient is φ = 7461735972.

The previous prime is 7461735947. The next prime is 7461735977. The reversal of 7461735973 is 3795371647.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4663114369 + 2798621604 = 68287^2 + 52902^2 .

It is a cyclic number.

It is not a de Polignac number, because 7461735973 - 2¹⁷ = 7461604901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7461735973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7461735977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3730867986 + 3730867987.

It is an arithmetic number, because the mean of its divisors is an integer number (3730867987).

Almost surely, 2^7461735973 is an apocalyptic number.

It is an amenable number.

7461735973 is a deficient number, since it is larger than the sum of its proper divisors (1).

7461735973 is an equidigital number, since it uses as much as digits as its factorization.

7461735973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3333960, while the sum is 52.

The square root of 7461735973 is about 86381.3404214128. The cubic root of 7461735973 is about 1954.0992855476.

The spelling of 7461735973 in words is "seven billion, four hundred sixty-one million, seven hundred thirty-five thousand, nine hundred seventy-three".