87901 has 8 divisors (see below), whose sum is σ = 98208. Its totient is φ = 78000.

The previous prime is 87887. The next prime is 87911. The reversal of 87901 is 10978.

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 87901 - 2⁵ = 87869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87911) 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 7 ways as a sum of consecutive naturals, for example, 606 + ... + 736.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2⁸⁷⁹⁰¹ is an apocalyptic number.

It is an amenable number.

87901 is a deficient number, since it is larger than the sum of its proper divisors (10307).

87901 is a wasteful number, since it uses less digits than its factorization.

87901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 87901 is about 296.4810280608. The cubic root of 87901 is about 44.4629157019.

It can be divided in two parts, 87 and 901, that multiplied together give a palindrome (78387).

The spelling of 87901 in words is "eighty-seven thousand, nine hundred one".