3680947 has 2 divisors, whose sum is σ = 3680948. Its totient is φ = 3680946.

The previous prime is 3680917. The next prime is 3680953. The reversal of 3680947 is 7490863.

3680947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3680947 - 2¹⁵ = 3648179 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3¹² + 6⁴ + 8⁷ + 0 + 9² + 4¹⁰ + 7⁴ .

3680947 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (3680917) 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, 1840473 + 1840474.

It is an arithmetic number, because the mean of its divisors is an integer number (1840474).

Almost surely, 2^3680947 is an apocalyptic number.

3680947 is a deficient number, since it is larger than the sum of its proper divisors (1).

3680947 is an equidigital number, since it uses as much as digits as its factorization.

3680947 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3680947 is about 1918.5794223852. The cubic root of 3680947 is about 154.4020947705.

It can be divided in two parts, 36809 and 47, that added together give a triangular number (36856 = T₂₇₁).

The spelling of 3680947 in words is "three million, six hundred eighty thousand, nine hundred forty-seven".