7641637 has 2 divisors, whose sum is σ = 7641638. Its totient is φ = 7641636.

The previous prime is 7641611. The next prime is 7641649. The reversal of 7641637 is 7361467.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7584516 + 57121 = 2754^2 + 239^2 .

It is an emirp because it is prime and its reverse (7361467) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7641637 - 2⁷ = 7641509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7641677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3820818 + 3820819.

It is an arithmetic number, because the mean of its divisors is an integer number (3820819).

Almost surely, 2^7641637 is an apocalyptic number.

It is an amenable number.

7641637 is a deficient number, since it is larger than the sum of its proper divisors (1).

7641637 is an equidigital number, since it uses as much as digits as its factorization.

7641637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 34.

The square root of 7641637 is about 2764.3510992636. The cubic root of 7641637 is about 196.9679059951.

It can be divided in two parts, 764 and 1637, that added together give a 4-th power (2401 = 7⁴).

The spelling of 7641637 in words is "seven million, six hundred forty-one thousand, six hundred thirty-seven".