Search a number
BaseRepresentation
bin10100011111000001
311021002121
4110133001
510141110
61444241
7466423
oct243701
9137077
1083905
1158048
1240681
132c263
1422813
1519cda
hex147c1

83905 has 8 divisors (see below), whose sum is σ = 102312. Its totient is φ = 66048.

The previous prime is 83903. The next prime is 83911. The reversal of 83905 is 50938.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 62001 = 148^2 + 249^2 .

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 83905 - 21 = 83903 is a prime.

It is a Duffinian number.

83905 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 83905.

It is not an unprimeable number, because it can be changed into a prime (83903) 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, 399 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (12789).

283905 is an apocalyptic number.

It is an amenable number.

83905 is a deficient number, since it is larger than the sum of its proper divisors (18407).

83905 is a wasteful number, since it uses less digits than its factorization.

83905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 83905 is about 289.6635979891. The cubic root of 83905 is about 43.7786750789.

The spelling of 83905 in words is "eighty-three thousand, nine hundred five".

Divisors: 1 5 97 173 485 865 16781 83905