7661973 has 16 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 4583280.

The previous prime is 7661963. The next prime is 7661981. The reversal of 7661973 is 3791667.

7661973 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7661973 - 2¹² = 7657877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7661903) 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 in 15 ways as a sum of consecutive naturals, for example, 1138 + ... + 4076.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 2^7661973 is an apocalyptic number.

It is an amenable number.

7661973 is a deficient number, since it is larger than the sum of its proper divisors (3627627).

7661973 is a wasteful number, since it uses less digits than its factorization.

7661973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032.

The product of its digits is 47628, while the sum is 39.

The square root of 7661973 is about 2768.0269146090. The cubic root of 7661973 is about 197.1424755446.

The spelling of 7661973 in words is "seven million, six hundred sixty-one thousand, nine hundred seventy-three".