981165672 has 24 divisors (see below), whose sum is σ = 2657323890. Its totient is φ = 327055200.

The previous prime is 981165649. The next prime is 981165673. The reversal of 981165672 is 276561189.

981165672 is a `hidden beast` number, since 9 + 81 + 1 + 6 + 567 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 980566596 + 599076 = 31314^2 + 774^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×981165672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (981165673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6813579 + ... + 6813722.

Almost surely, 2^981165672 is an apocalyptic number.

It is an amenable number.

981165672 is an abundant number, since it is smaller than the sum of its proper divisors (1676158218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

981165672 is a wasteful number, since it uses less digits than its factorization.

981165672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13627313 (or 13627306 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 981165672 is about 31323.5641650180. The cubic root of 981165672 is about 993.6820583430.

The spelling of 981165672 in words is "nine hundred eighty-one million, one hundred sixty-five thousand, six hundred seventy-two".