Search a number
-
+
83973 = 3231217
BaseRepresentation
bin10100100000000101
311021012010
4110200011
510141343
61444433
7466551
oct244005
9137163
1083973
11580aa
1240719
132c2b6
1422861
1519d33
hex14805

83973 has 8 divisors (see below), whose sum is σ = 116928. Its totient is φ = 53504.

The previous prime is 83969. The next prime is 83983. The reversal of 83973 is 37938.

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

It is a cyclic number.

It is not a de Polignac number, because 83973 - 22 = 83969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (14616).

283973 is an apocalyptic number.

It is an amenable number.

83973 is a deficient number, since it is larger than the sum of its proper divisors (32955).

83973 is a wasteful number, since it uses less digits than its factorization.

83973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243.

The product of its digits is 4536, while the sum is 30.

The square root of 83973 is about 289.7809517549. The cubic root of 83973 is about 43.7904985541.

The spelling of 83973 in words is "eighty-three thousand, nine hundred seventy-three".

Divisors: 1 3 23 69 1217 3651 27991 83973