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87013 is a prime number
BaseRepresentation
bin10101001111100101
311102100201
4111033211
510241023
61510501
7511453
oct251745
9142321
1087013
115a413
1242431
13307b4
14239d3
151abad
hex153e5

87013 has 2 divisors, whose sum is σ = 87014. Its totient is φ = 87012.

The previous prime is 87011. The next prime is 87037. The reversal of 87013 is 31078.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 20449 = 258^2 + 143^2 .

It is a cyclic number.

It is not a de Polignac number, because 87013 - 21 = 87011 is a prime.

It is a super-3 number, since 3×870133 = 1976394705333591, which contains 333 as substring.

Together with 87011, it forms a pair of twin primes.

It is equal to p8452 and since 87013 and 8452 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43506 + 43507.

It is an arithmetic number, because the mean of its divisors is an integer number (43507).

287013 is an apocalyptic number.

It is an amenable number.

87013 is a deficient number, since it is larger than the sum of its proper divisors (1).

87013 is an equidigital number, since it uses as much as digits as its factorization.

87013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 87013 is about 294.9796603158. The cubic root of 87013 is about 44.3126831422.

It can be divided in two parts, 8 and 7013, that added together give a triangular number (7021 = T118).

The spelling of 87013 in words is "eighty-seven thousand, thirteen".