17967972 has 48 divisors (see below), whose sum is σ = 47222784. Its totient is φ = 5268000.

The previous prime is 17967967. The next prime is 17967973. The reversal of 17967972 is 27976971.

It is not an unprimeable number, because it can be changed into a prime (17967973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1897 + ... + 6287.

It is an arithmetic number, because the mean of its divisors is an integer number (983808).

Almost surely, 2^17967972 is an apocalyptic number.

17967972 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 17967972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611392).

17967972 is an abundant number, since it is smaller than the sum of its proper divisors (29254812).

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

17967972 is a wasteful number, since it uses less digits than its factorization.

17967972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4438 counting only the distinct ones).

The product of its digits is 333396, while the sum is 48.

The square root of 17967972 is about 4238.8644705864. The cubic root of 17967972 is about 261.9186080530.

The spelling of 17967972 in words is "seventeen million, nine hundred sixty-seven thousand, nine hundred seventy-two".