87363 has 12 divisors (see below), whose sum is σ = 133848. Its totient is φ = 54720.

The previous prime is 87359. The next prime is 87383. The reversal of 87363 is 36378.

It is a happy number.

It is not a de Polignac number, because 87363 - 2² = 87359 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8³ + 7³ + 3⁹ + 6⁵ + 3¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (87313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (11154).

2⁸⁷³⁶³ is an apocalyptic number.

87363 is a deficient number, since it is larger than the sum of its proper divisors (46485).

87363 is a wasteful number, since it uses less digits than its factorization.

87363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 591 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 87363 is about 295.5723261742. The cubic root of 87363 is about 44.3720179177.

The spelling of 87363 in words is "eighty-seven thousand, three hundred sixty-three".