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87945 = 35111341
BaseRepresentation
bin10101011110001001
311110122020
4111132021
510303240
61515053
7514254
oct253611
9143566
1087945
1160090
1242a89
1331050
142409b
151b0d0
hex15789

87945 has 32 divisors (see below), whose sum is σ = 169344. Its totient is φ = 38400.

The previous prime is 87943. The next prime is 87959. The reversal of 87945 is 54978.

It is not a de Polignac number, because 87945 - 21 = 87943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (87943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2125 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

287945 is an apocalyptic number.

It is an amenable number.

87945 is a deficient number, since it is larger than the sum of its proper divisors (81399).

87945 is a wasteful number, since it uses less digits than its factorization.

87945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73.

The product of its digits is 10080, while the sum is 33.

The square root of 87945 is about 296.5552225134. Note that the first 3 decimals coincide. The cubic root of 87945 is about 44.4703332965.

Adding to 87945 its sum of digits (33), we get a palindrome (87978).

It can be divided in two parts, 87 and 945, that multiplied together give a triangular number (82215 = T405).

The spelling of 87945 in words is "eighty-seven thousand, nine hundred forty-five".

Divisors: 1 3 5 11 13 15 33 39 41 55 65 123 143 165 195 205 429 451 533 615 715 1353 1599 2145 2255 2665 5863 6765 7995 17589 29315 87945