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14973 = 372331
BaseRepresentation
bin11101001111101
3202112120
43221331
5434343
6153153
761440
oct35175
922476
1014973
1110282
1287b9
136a7a
145657
154683
hex3a7d

14973 has 16 divisors (see below), whose sum is σ = 24576. Its totient is φ = 7920.

The previous prime is 14969. The next prime is 14983. The reversal of 14973 is 37941.

14973 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 14973 - 22 = 14969 is a prime.

14973 is an undulating number in base 5.

It is a Curzon number.

14973 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14973.

It is not an unprimeable number, because it can be changed into a prime (14923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (1536).

214973 is an apocalyptic number.

It is an amenable number.

14973 is a deficient number, since it is larger than the sum of its proper divisors (9603).

14973 is a wasteful number, since it uses less digits than its factorization.

14973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its digits is 756, while the sum is 24.

The square root of 14973 is about 122.3642104539. The cubic root of 14973 is about 24.6473145836.

It can be divided in two parts, 149 and 73, that added together give a palindrome (222).

The spelling of 14973 in words is "fourteen thousand, nine hundred seventy-three".

Divisors: 1 3 7 21 23 31 69 93 161 217 483 651 713 2139 4991 14973