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16745 = 517197

16745 has 8 divisors (see below), whose sum is σ = 21384. Its totient is φ = 12544.

The previous prime is 16741. The next prime is 16747. The reversal of 16745 is 54761.

16745 = 232 + 242 + ... + 392.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 8281 = 92^2 + 91^2 .

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

It is a 3-Lehmer number, since φ(16745) divides (16745-1)3.

It is a cyclic number.

It is not a de Polignac number, because 16745 - 22 = 16741 is a prime.

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

It is a Duffinian number.

16745 is an undulating number in base 14.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 16745.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16745.

It is not an unprimeable number, because it can be changed into a prime (16741) 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, 14 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (2673).

216745 is an apocalyptic number.

16745 is the 92-nd centered square number.

It is an amenable number.

16745 is a deficient number, since it is larger than the sum of its proper divisors (4639).

16745 is a wasteful number, since it uses less digits than its factorization.

16745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219.

The product of its digits is 840, while the sum is 23.

The square root of 16745 is about 129.4024729285. The cubic root of 16745 is about 25.5836035957.

It can be divided in two parts, 167 and 45, that added together give a palindrome (212).

The spelling of 16745 in words is "sixteen thousand, seven hundred forty-five".

Divisors: 1 5 17 85 197 985 3349 16745