87125 has 16 divisors (see below), whose sum is σ = 117936. Its totient is φ = 64000.

The previous prime is 87121. The next prime is 87133. The reversal of 87125 is 52178.

87125 is nontrivially palindromic in base 2 and base 4.

It can be written as a sum of positive squares in 8 ways, for example, as 39601 + 47524 = 199^2 + 218^2 .

It is not a de Polignac number, because 87125 - 2² = 87121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 87125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2105 + ... + 2145.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2⁸⁷¹²⁵ is an apocalyptic number.

87125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87125 is a deficient number, since it is larger than the sum of its proper divisors (30811).

87125 is a wasteful number, since it uses less digits than its factorization.

87125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 87125 is about 295.1694428629. The cubic root of 87125 is about 44.3316875539.

It can be divided in two parts, 87 and 125, that added together give a palindrome (212).

The spelling of 87125 in words is "eighty-seven thousand, one hundred twenty-five".