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87873 = 3171723
BaseRepresentation
bin10101011101000001
311110112120
4111131001
510302443
61514453
7514122
oct253501
9143476
1087873
1160025
1242a29
1330cc6
1424049
151b083
hex15741

87873 has 8 divisors (see below), whose sum is σ = 124128. Its totient is φ = 55104.

The previous prime is 87869. The next prime is 87877. The reversal of 87873 is 37878.

Added to its reverse (37878) it gives a triangular number (125751 = T501).

It is an interprime number because it is at equal distance from previous prime (87869) and next prime (87877).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 87873 - 22 = 87869 is a prime.

87873 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (87877) 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, 811 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (15516).

287873 is an apocalyptic number.

It is an amenable number.

87873 is a deficient number, since it is larger than the sum of its proper divisors (36255).

87873 is a wasteful number, since it uses less digits than its factorization.

87873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743.

The product of its digits is 9408, while the sum is 33.

The square root of 87873 is about 296.4338037404. The cubic root of 87873 is about 44.4581941255.

Adding to 87873 its reverse (37878), we get a triangular number (125751 = T501).

The spelling of 87873 in words is "eighty-seven thousand, eight hundred seventy-three".

Divisors: 1 3 17 51 1723 5169 29291 87873