981829152 has 144 divisors (see below), whose sum is σ = 3085205760. Its totient is φ = 294598656.

The previous prime is 981829139. The next prime is 981829157. The reversal of 981829152 is 251928189.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 981829098 and 981829107.

It is not an unprimeable number, because it can be changed into a prime (981829157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108249 + ... + 116967.

It is an arithmetic number, because the mean of its divisors is an integer number (21425040).

Almost surely, 2^981829152 is an apocalyptic number.

981829152 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981829152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542602880).

981829152 is an abundant number, since it is smaller than the sum of its proper divisors (2103376608).

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

981829152 is a wasteful number, since it uses less digits than its factorization.

981829152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8775 (or 8764 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 981829152 is about 31334.1531240275. The cubic root of 981829152 is about 993.9059891360.

The spelling of 981829152 in words is "nine hundred eighty-one million, eight hundred twenty-nine thousand, one hundred fifty-two".