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7982 = 213307
BaseRepresentation
bin1111100101110
3101221122
41330232
5223412
6100542
732162
oct17456
911848
107982
115aa7
124752
133830
142ca2
152572
hex1f2e

7982 has 8 divisors (see below), whose sum is σ = 12936. Its totient is φ = 3672.

The previous prime is 7963. The next prime is 7993. The reversal of 7982 is 2897.

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

It is a Harshad number since it is a multiple of its sum of digits (26), and also a Moran number because the ratio is a prime number: 307 = 7982 / (7 + 9 + 8 + 2).

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 7982.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (1617).

7982 is a deficient number, since it is larger than the sum of its proper divisors (4954).

7982 is a wasteful number, since it uses less digits than its factorization.

7982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322.

The product of its digits is 1008, while the sum is 26.

The square root of 7982 is about 89.3420393768. The cubic root of 7982 is about 19.9849887359.

Adding to 7982 its sum of digits (26), we get a palindrome (8008).

It can be divided in two parts, 798 and 2, that multiplied together give a triangular number (1596 = T56).

The spelling of 7982 in words is "seven thousand, nine hundred eighty-two".

Divisors: 1 2 13 26 307 614 3991 7982