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16956 = 2233157

16956 has 24 divisors (see below), whose sum is σ = 44240. Its totient is φ = 5616.

The previous prime is 16943. The next prime is 16963. The reversal of 16956 is 65961.

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

Its product of digits (1620) is a multiple of the sum of its prime divisors (162).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

16956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 186.

216956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120).

16956 is an abundant number, since it is smaller than the sum of its proper divisors (27284).

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

16956 is a wasteful number, since it uses less digits than its factorization.

16956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 16956 is about 130.2152064853. The cubic root of 16956 is about 25.6906131343.

It can be divided in two parts, 169 and 56, that added together give a square (225 = 152).

The spelling of 16956 in words is "sixteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1413 1884 2826 4239 5652 8478 16956