87975 has 36 divisors (see below), whose sum is σ = 174096. Its totient is φ = 42240.

The previous prime is 87973. The next prime is 87977. The reversal of 87975 is 57978.

87975 = 10³ + 11³ + ... + 24³.

It is an interprime number because it is at equal distance from previous prime (87973) and next prime (87977).

It is not a de Polignac number, because 87975 - 2¹ = 87973 is a prime.

Its product of digits (17640) is a multiple of the sum of its prime factors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87973) 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 35 ways as a sum of consecutive naturals, for example, 3814 + ... + 3836.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2⁸⁷⁹⁷⁵ is an apocalyptic number.

87975 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

87975 is a deficient number, since it is larger than the sum of its proper divisors (86121).

87975 is a wasteful number, since it uses less digits than its factorization.

87975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 48 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 87975 is about 296.6057989993. The cubic root of 87975 is about 44.4753893289.

The spelling of 87975 in words is "eighty-seven thousand, nine hundred seventy-five".