87985001 has 8 divisors (see below), whose sum is σ = 97314504. Its totient is φ = 79021440.

The previous prime is 87984977. The next prime is 87985019. The reversal of 87985001 is 10058978.

It can be written as a sum of positive squares in 4 ways, for example, as 14899600 + 73085401 = 3860^2 + 8549^2 .

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 87985001 - 2⁶ = 87984937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87985031) 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, 90980 + ... + 91941.

It is an arithmetic number, because the mean of its divisors is an integer number (12164313).

Almost surely, 2^87985001 is an apocalyptic number.

It is an amenable number.

87985001 is a deficient number, since it is larger than the sum of its proper divisors (9329503).

87985001 is a wasteful number, since it uses less digits than its factorization.

87985001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182971.

The product of its (nonzero) digits is 20160, while the sum is 38.

The square root of 87985001 is about 9380.0320361926. The cubic root of 87985001 is about 444.7707458618.

The spelling of 87985001 in words is "eighty-seven million, nine hundred eighty-five thousand, one".