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16929 = 341119

16929 has 20 divisors (see below), whose sum is σ = 29040. Its totient is φ = 9720.

The previous prime is 16927. The next prime is 16931. The reversal of 16929 is 92961.

It is a happy number.

16929 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (16927) and next prime (16931).

It is not a de Polignac number, because 16929 - 21 = 16927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 882 + ... + 900.

It is an arithmetic number, because the mean of its divisors is an integer number (1452).

216929 is an apocalyptic number.

16929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

16929 is a deficient number, since it is larger than the sum of its proper divisors (12111).

16929 is a wasteful number, since it uses less digits than its factorization.

16929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 33 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 16929 is about 130.1114906532. Note that the first 3 decimals coincide. The cubic root of 16929 is about 25.6769696835.

The spelling of 16929 in words is "sixteen thousand, nine hundred twenty-nine".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 297 513 627 891 1539 1881 5643 16929