87045 has 16 divisors (see below), whose sum is σ = 159360. Its totient is φ = 39744.

The previous prime is 87041. The next prime is 87049. The reversal of 87045 is 54078.

It is an interprime number because it is at equal distance from previous prime (87041) and next prime (87049).

It is not a de Polignac number, because 87045 - 2² = 87041 is a prime.

It is a Curzon number.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87045.

It is not an unprimeable number, because it can be changed into a prime (87041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (9960).

2⁸⁷⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

87045 is a deficient number, since it is larger than the sum of its proper divisors (72315).

87045 is a wasteful number, since it uses less digits than its factorization.

87045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 87045 is about 295.0338963577. The cubic root of 87045 is about 44.3181146374.

The spelling of 87045 in words is "eighty-seven thousand, forty-five".