17981952 has 80 divisors (see below), whose sum is σ = 50086080. Its totient is φ = 5722112.

The previous prime is 17981947. The next prime is 17981959. The reversal of 17981952 is 25918971.

It is not an unprimeable number, because it can be changed into a prime (17981959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35074 + ... + 35582.

It is an arithmetic number, because the mean of its divisors is an integer number (626076).

Almost surely, 2^17981952 is an apocalyptic number.

17981952 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 17981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043040).

17981952 is an abundant number, since it is smaller than the sum of its proper divisors (32104128).

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

17981952 is an equidigital number, since it uses as much as digits as its factorization.

17981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its digits is 45360, while the sum is 42.

The square root of 17981952 is about 4240.5131764917. The cubic root of 17981952 is about 261.9865191284.

The spelling of 17981952 in words is "seventeen million, nine hundred eighty-one thousand, nine hundred fifty-two".