19982952 has 96 divisors (see below), whose sum is σ = 61663680. Its totient is φ = 5786880.

The previous prime is 19982933. The next prime is 19982953. The reversal of 19982952 is 25928991.

It is a junction number, because it is equal to n+sod(n) for n = 19982898 and 19982907.

It is not an unprimeable number, because it can be changed into a prime (19982953) 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, 17668 + ... + 18764.

It is an arithmetic number, because the mean of its divisors is an integer number (642330).

Almost surely, 2^19982952 is an apocalyptic number.

19982952 is a gapful number since it is divisible by the number (12) 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 19982952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831840).

19982952 is an abundant number, since it is smaller than the sum of its proper divisors (41680728).

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

19982952 is a wasteful number, since it uses less digits than its factorization.

19982952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1136 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 19982952 is about 4470.2295243086. The cubic root of 19982952 is about 271.3646140826.

It can be divided in two parts, 1998 and 2952, that added together give a triangular number (4950 = T₉₉).

The spelling of 19982952 in words is "nineteen million, nine hundred eighty-two thousand, nine hundred fifty-two".