16972 has 6 divisors (see below), whose sum is σ = 29708. Its totient is φ = 8484.

The previous prime is 16963. The next prime is 16979. The reversal of 16972 is 27961.

16972 is nontrivially palindromic in base 8.

It is not an unprimeable number, because it can be changed into a prime (16979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2118 + ... + 2125.

2¹⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

16972 is a deficient number, since it is larger than the sum of its proper divisors (12736).

16972 is a wasteful number, since it uses less digits than its factorization.

16972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4245 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 16972 is about 130.2766287559. The cubic root of 16972 is about 25.6986913090.

The spelling of 16972 in words is "sixteen thousand, nine hundred seventy-two".