87362 has 18 divisors (see below), whose sum is σ = 152019. Its totient is φ = 37620.

The previous prime is 87359. The next prime is 87383. The reversal of 87362 is 26378.

It can be written as a sum of positive squares in only one way, i.e., 43681 + 43681 = 209^2 + 209^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=209.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

Its product of digits (2016) is a multiple of the sum of its prime divisors (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87362.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4589 + ... + 4607.

2⁸⁷³⁶² is an apocalyptic number.

87362 is a deficient number, since it is larger than the sum of its proper divisors (64657).

87362 is a wasteful number, since it uses less digits than its factorization.

87362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 32 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 87362 is about 295.5706345360. The cubic root of 87362 is about 44.3718486157.

The spelling of 87362 in words is "eighty-seven thousand, three hundred sixty-two".