87153 has 16 divisors (see below), whose sum is σ = 134400. Its totient is φ = 49680.

The previous prime is 87151. The next prime is 87179. The reversal of 87153 is 35178.

87153 is a nontrivial binomial coefficient, being equal to C(418, 2).

It is not a de Polignac number, because 87153 - 2¹ = 87151 is a prime.

87153 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87153.

It is not an unprimeable number, because it can be changed into a prime (87151) 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, 558 + ... + 696.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁸⁷¹⁵³ is an apocalyptic number.

87153 is the 417-th triangular number and also the 209-th hexagonal number.

It is an amenable number.

87153 is a deficient number, since it is larger than the sum of its proper divisors (47247).

87153 is a wasteful number, since it uses less digits than its factorization.

87153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its digits is 840, while the sum is 24.

The square root of 87153 is about 295.2168694367. The cubic root of 87153 is about 44.3364361118.

The spelling of 87153 in words is "eighty-seven thousand, one hundred fifty-three".