7958961 has 12 divisors (see below), whose sum is σ = 11777220. Its totient is φ = 5176320.

The previous prime is 7958927. The next prime is 7958983. The reversal of 7958961 is 1698597.

7958961 is a `hidden beast` number, since 7 + 9 + 589 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 291600 + 7667361 = 540^2 + 2769^2 .

It is not a de Polignac number, because 7958961 - 2⁷ = 7958833 is a prime.

7958961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7958921) 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 11 ways as a sum of consecutive naturals, for example, 10416 + ... + 11153.

It is an arithmetic number, because the mean of its divisors is an integer number (981435).

Almost surely, 2^7958961 is an apocalyptic number.

It is an amenable number.

7958961 is a deficient number, since it is larger than the sum of its proper divisors (3818259).

7958961 is a wasteful number, since it uses less digits than its factorization.

7958961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21616 (or 21613 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 7958961 is about 2821.1630580312. The cubic root of 7958961 is about 199.6574218695.

The spelling of 7958961 in words is "seven million, nine hundred fifty-eight thousand, nine hundred sixty-one".