Search a number

16471 has 8 divisors (see below), whose sum is σ = 20384. Its totient is φ = 12960.

The previous prime is 16453. The next prime is 16477. The reversal of 16471 is 17461.

Multipling 16471 by its product of digits (168), we get a triangular number (2767128 = T2352).

Subtracting 16471 from its reverse (17461), we obtain a triangular number (990 = T44).

16471 = 103 + 113 + ... + 163.

It is a happy number.

16471 is a nontrivial binomial coefficient, being equal to C(182, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(16471) divides (16471-1)5.

It is a cyclic number.

It is not a de Polignac number, because 16471 - 29 = 15959 is a prime.

It is a super-3 number, since 3×164713 = 13405442565333, which contains 333 as substring.

It is a d-powerful number, because it can be written as 1 + 62 + 47 + 72 + 1 .

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16477) 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, 1 + ... + 181.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

216471 is an apocalyptic number.

16471 is the 181-st triangular number and also the 91-st hexagonal number.

16471 is the 61-st centered nonagonal number.

16471 is a deficient number, since it is larger than the sum of its proper divisors (3913).

16471 is a wasteful number, since it uses less digits than its factorization.

16471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201.

The product of its digits is 168, while the sum is 19.

The square root of 16471 is about 128.3393937963. The cubic root of 16471 is about 25.4432931868.

The spelling of 16471 in words is "sixteen thousand, four hundred seventy-one".

Divisors: 1 7 13 91 181 1267 2353 16471