981133272 has 288 divisors, whose sum is σ = 3241667520. Its totient is φ = 267079680.

The previous prime is 981133259. The next prime is 981133273. The reversal of 981133272 is 272331189.

It is a super-3 number, since 3×981133272³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981133273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10114728 + ... + 10114824.

It is an arithmetic number, because the mean of its divisors is an integer number (11255790).

Almost surely, 2^981133272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981133272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620833760).

981133272 is an abundant number, since it is smaller than the sum of its proper divisors (2260534248).

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

981133272 is a wasteful number, since it uses less digits than its factorization.

981133272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 981133272 is about 31323.0469782236. The cubic root of 981133272 is about 993.6711204508.

The spelling of 981133272 in words is "nine hundred eighty-one million, one hundred thirty-three thousand, two hundred seventy-two".