17993052 has 72 divisors (see below), whose sum is σ = 56714112. Its totient is φ = 4672800.

The previous prime is 17993047. The next prime is 17993071. The reversal of 17993052 is 25039971.

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

It is a junction number, because it is equal to n+sod(n) for n = 17992998 and 17993016.

It is a congruent number.

It is an unprimeable number.

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, 474 + ... + 6017.

It is an arithmetic number, because the mean of its divisors is an integer number (787696).

Almost surely, 2^17993052 is an apocalyptic number.

17993052 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 17993052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28357056).

17993052 is an abundant number, since it is smaller than the sum of its proper divisors (38721060).

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

17993052 is a wasteful number, since it uses less digits than its factorization.

17993052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 17993052 is about 4241.8217784344. The cubic root of 17993052 is about 262.0404148754.

It can be divided in two parts, 1799 and 3052, that added together give a triangular number (4851 = T₉₈).

The spelling of 17993052 in words is "seventeen million, nine hundred ninety-three thousand, fifty-two".