7983105 has 16 divisors (see below), whose sum is σ = 13755840. Its totient is φ = 3930048.

The previous prime is 7983049. The next prime is 7983109. The reversal of 7983105 is 5013897.

It is not a de Polignac number, because 7983105 - 2⁷ = 7982977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7983109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20275 + ... + 20664.

It is an arithmetic number, because the mean of its divisors is an integer number (859740).

It is a Proth number, since it is equal to 1949 ⋅ 2¹² + 1 and 1949 < 2¹².

Almost surely, 2^7983105 is an apocalyptic number.

It is an amenable number.

7983105 is a deficient number, since it is larger than the sum of its proper divisors (5772735).

7983105 is a wasteful number, since it uses less digits than its factorization.

7983105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40960.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 7983105 is about 2825.4389039581. The cubic root of 7983105 is about 199.8591091054.

The spelling of 7983105 in words is "seven million, nine hundred eighty-three thousand, one hundred five".