87645 has 8 divisors (see below), whose sum is σ = 140256. Its totient is φ = 46736.

The previous prime is 87643. The next prime is 87649. The reversal of 87645 is 54678.

It is a happy number.

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 87645 - 2¹ = 87643 is a prime.

It is a Curzon number.

87645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87641) 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, 2907 + ... + 2936.

It is an arithmetic number, because the mean of its divisors is an integer number (17532).

2⁸⁷⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

87645 is a deficient number, since it is larger than the sum of its proper divisors (52611).

87645 is a wasteful number, since it uses less digits than its factorization.

87645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851.

The product of its digits is 6720, while the sum is 30.

The square root of 87645 is about 296.0489824337. The cubic root of 87645 is about 44.4197096164.

The spelling of 87645 in words is "eighty-seven thousand, six hundred forty-five".