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87397 = 175397
BaseRepresentation
bin10101010101100101
311102212221
4111111211
510244042
61512341
7512542
oct252545
9142787
1087397
115a732
12426b1
1330a1b
1423bc9
151ad67
hex15565

87397 has 8 divisors (see below), whose sum is σ = 95256. Its totient is φ = 79872.

The previous prime is 87383. The next prime is 87403. The reversal of 87397 is 79378.

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 57121 = 174^2 + 239^2 .

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 87397 - 215 = 54629 is a prime.

It is a Duffinian number.

87397 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 87397.

It is not an unprimeable number, because it can be changed into a prime (87317) 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, 853 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (11907).

287397 is an apocalyptic number.

It is an amenable number.

87397 is a deficient number, since it is larger than the sum of its proper divisors (7859).

87397 is a wasteful number, since it uses less digits than its factorization.

87397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its digits is 10584, while the sum is 34.

The square root of 87397 is about 295.6298361127. The cubic root of 87397 is about 44.3777734166.

It can be divided in two parts, 873 and 97, that multiplied together give a square (84681 = 2912).

The spelling of 87397 in words is "eighty-seven thousand, three hundred ninety-seven".

Divisors: 1 17 53 97 901 1649 5141 87397