87291 has 16 divisors (see below), whose sum is σ = 133920. Its totient is φ = 56160.

The previous prime is 87281. The next prime is 87293. The reversal of 87291 is 19278.

It is not a de Polignac number, because 87291 - 2¹¹ = 85243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87291.

It is not an unprimeable number, because it can be changed into a prime (87293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401 + ... + 1461.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2⁸⁷²⁹¹ is an apocalyptic number.

87291 is a deficient number, since it is larger than the sum of its proper divisors (46629).

87291 is a wasteful number, since it uses less digits than its factorization.

87291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 87291 is about 295.4505034689. The cubic root of 87291 is about 44.3598248713.

It can be divided in two parts, 87 and 291, that added together give a triangular number (378 = T₂₇).

The spelling of 87291 in words is "eighty-seven thousand, two hundred ninety-one".