87101 has 8 divisors (see below), whose sum is σ = 104064. Its totient is φ = 71280.

The previous prime is 87083. The next prime is 87103. The reversal of 87101 is 10178.

87101 = 20³ + 21³ + ... + 26³.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 87101 - 2⁶ = 87037 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 87101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (13008).

2⁸⁷¹⁰¹ is an apocalyptic number.

It is an amenable number.

87101 is a deficient number, since it is larger than the sum of its proper divisors (16963).

87101 is a wasteful number, since it uses less digits than its factorization.

87101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 87101 is about 295.1287854480. The cubic root of 87101 is about 44.3276165517.

Adding to 87101 its reverse (10178), we get a palindrome (97279).

The spelling of 87101 in words is "eighty-seven thousand, one hundred one".