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87289 = 412129
BaseRepresentation
bin10101010011111001
311102201221
4111103321
510243124
61512041
7512326
oct252371
9142657
1087289
115a644
1242621
1330967
1423b4d
151ace4
hex154f9

87289 has 4 divisors (see below), whose sum is σ = 89460. Its totient is φ = 85120.

The previous prime is 87281. The next prime is 87293. The reversal of 87289 is 98278.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 98278 = 249139.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 75625 = 108^2 + 275^2 .

It is a cyclic number.

It is not a de Polignac number, because 87289 - 23 = 87281 is a prime.

It is a Duffinian number.

87289 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1024 + ... + 1105.

It is an arithmetic number, because the mean of its divisors is an integer number (22365).

287289 is an apocalyptic number.

It is an amenable number.

87289 is a deficient number, since it is larger than the sum of its proper divisors (2171).

87289 is a wasteful number, since it uses less digits than its factorization.

87289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170.

The product of its digits is 8064, while the sum is 34.

The square root of 87289 is about 295.4471187878. The cubic root of 87289 is about 44.3594860798.

It can be divided in two parts, 872 and 89, that added together give a square (961 = 312).

The spelling of 87289 in words is "eighty-seven thousand, two hundred eighty-nine".

Divisors: 1 41 2129 87289