17972 has 6 divisors (see below), whose sum is σ = 31458. Its totient is φ = 8984.

The previous prime is 17971. The next prime is 17977. The reversal of 17972 is 27971.

It can be written as a sum of positive squares in only one way, i.e., 17956 + 16 = 134^2 + 4^2 .

It is a plaindrome in base 11 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2243 + ... + 2250.

It is an arithmetic number, because the mean of its divisors is an integer number (5243).

2¹⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

17972 is a deficient number, since it is larger than the sum of its proper divisors (13486).

17972 is a wasteful number, since it uses less digits than its factorization.

17972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4495 counting only the distinct ones).

The product of its digits is 882, while the sum is 26.

The square root of 17972 is about 134.0596881990. The cubic root of 17972 is about 26.1938178604.

Subtracting 17972 from its reverse (27971), we obtain a palindrome (9999).

It can be divided in two parts, 17 and 972, that added together give a palindrome (989).

The spelling of 17972 in words is "seventeen thousand, nine hundred seventy-two".