90387 has 18 divisors (see below), whose sum is σ = 145236. Its totient is φ = 54120.

The previous prime is 90379. The next prime is 90397. The reversal of 90387 is 78309.

It is a happy number.

It is not a de Polignac number, because 90387 - 2³ = 90379 is a prime.

It is a super-3 number, since 3×90387³ = 2215333786771809, which contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 90387.

It is not an unprimeable number, because it can be changed into a prime (90397) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1048 + ... + 1130.

2⁹⁰³⁸⁷ is an apocalyptic number.

90387 is a deficient number, since it is larger than the sum of its proper divisors (54849).

90387 is a wasteful number, since it uses less digits than its factorization.

90387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 90387 is about 300.6443081118. The cubic root of 90387 is about 44.8781890849.

It can be divided in two parts, 9038 and 7, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 90387 in words is "ninety thousand, three hundred eighty-seven".