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88705 = 5113157
BaseRepresentation
bin10101101010000001
311111200101
4111222001
510314310
61522401
7516421
oct255201
9144611
1088705
1160711
1243401
13314b6
1424481
151b43a
hex15a81

88705 has 8 divisors (see below), whose sum is σ = 108072. Its totient is φ = 69888.

The previous prime is 88681. The next prime is 88721. The reversal of 88705 is 50788.

It can be written as a sum of positive squares in 4 ways, for example, as 1089 + 87616 = 33^2 + 296^2 .

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 88705 - 213 = 80513 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487 + ... + 643.

It is an arithmetic number, because the mean of its divisors is an integer number (13509).

288705 is an apocalyptic number.

It is an amenable number.

88705 is a deficient number, since it is larger than the sum of its proper divisors (19367).

88705 is a wasteful number, since it uses less digits than its factorization.

88705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 88705 is about 297.8338462969. The cubic root of 88705 is about 44.5980667719.

The spelling of 88705 in words is "eighty-eight thousand, seven hundred five".

Divisors: 1 5 113 157 565 785 17741 88705