7981961 has 16 divisors (see below), whose sum is σ = 8944320. Its totient is φ = 7076160.

The previous prime is 7981949. The next prime is 7981999. The reversal of 7981961 is 1691897.

It is a happy number.

It is not a de Polignac number, because 7981961 - 2¹⁴ = 7965577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7981661) 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, 60866 + ... + 60996.

It is an arithmetic number, because the mean of its divisors is an integer number (559020).

Almost surely, 2^7981961 is an apocalyptic number.

It is an amenable number.

7981961 is a deficient number, since it is larger than the sum of its proper divisors (962359).

7981961 is a wasteful number, since it uses less digits than its factorization.

7981961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296.

The product of its digits is 27216, while the sum is 41.

The square root of 7981961 is about 2825.2364502816. The cubic root of 7981961 is about 199.8495618702.

Subtracting from 7981961 its reverse (1691897), we obtain a square (6290064 = 2508²).

The spelling of 7981961 in words is "seven million, nine hundred eighty-one thousand, nine hundred sixty-one".