87381 has 24 divisors (see below), whose sum is σ = 153920. Its totient is φ = 46656.

The previous prime is 87359. The next prime is 87383. The reversal of 87381 is 18378.

87381 is nontrivially palindromic in base 2 and base 4.

87381 is an esthetic number in base 2, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 87381 - 2^{6} = 87317 is a prime.

It is a super-2 number, since 2×87381^{2} = 15270878322, which contains 22 as substring.

It is the 18-th Jacobsthal number.

It is an Ulam number.

It is a Duffinian number.

87381 is an undulating number in base 2 and base 8.

It is a Curzon number.

87381 is a nontrivial repdigit in base 4.

It is a plaindrome in base 4 and base 16.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

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 87381.

It is not an unprimeable number, because it can be changed into a prime (87383) by changing a digit.

It is a nontrivial repunit in base 4.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161 + ... + 1233.

87381 is a Friedman number, since it can be written as (8^7/8-1)/3, using all its digits and the basic arithmetic operations.

2^{87381} is an apocalyptic number.

87381 is the 171-st octagonal number.

It is an amenable number.

87381 is a deficient number, since it is larger than the sum of its proper divisors (66539).

87381 is a wasteful number, since it uses less digits than its factorization.

87381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 102 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 87381 is about 295.6027740059. The cubic root of 87381 is about 44.3750651325.

The spelling of 87381 in words is "eighty-seven thousand, three hundred eighty-one".

Divisors: 1 3 7 9 19 21 57 63 73 133 171 219 399 511 657 1197 1387 1533 4161 4599 9709 12483 29127 87381

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