87601 has 4 divisors (see below), whose sum is σ = 92772. Its totient is φ = 82432.

The previous prime is 87589. The next prime is 87613. The reversal of 87601 is 10678.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (87589) and next prime (87613).

It can be written as a sum of positive squares in 2 ways, for example, as 62001 + 25600 = 249^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 87601 - 2⁷ = 87473 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2560 + ... + 2593.

It is an arithmetic number, because the mean of its divisors is an integer number (23193).

2⁸⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

87601 is a deficient number, since it is larger than the sum of its proper divisors (5171).

87601 is a wasteful number, since it uses less digits than its factorization.

87601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 87601 is about 295.9746610776. The cubic root of 87601 is about 44.4122751007.

The spelling of 87601 in words is "eighty-seven thousand, six hundred one".