7966981 has 12 divisors (see below), whose sum is σ = 8901792. Its totient is φ = 7070000.

The previous prime is 7966979. The next prime is 7967009. The reversal of 7966981 is 1896697.

It is not a de Polignac number, because 7966981 - 2¹ = 7966979 is a prime.

It is a super-2 number, since 2×7966981² = 126945572508722, which contains 22 as substring.

It is a Duffinian number.

7966981 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7966381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78831 + ... + 78931.

It is an arithmetic number, because the mean of its divisors is an integer number (741816).

Almost surely, 2^7966981 is an apocalyptic number.

7966981 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

7966981 is a deficient number, since it is larger than the sum of its proper divisors (934811).

7966981 is a wasteful number, since it uses less digits than its factorization.

7966981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 183 counting only the distinct ones).

The product of its digits is 163296, while the sum is 46.

The square root of 7966981 is about 2822.5840997214. The cubic root of 7966981 is about 199.7244622357.

It can be divided in two parts, 796 and 6981, that added together give a palindrome (7777).

The spelling of 7966981 in words is "seven million, nine hundred sixty-six thousand, nine hundred eighty-one".