487993 has 12 divisors (see below), whose sum is σ = 555940. Its totient is φ = 427680.

The previous prime is 487979. The next prime is 487997. The reversal of 487993 is 399784.

It can be written as a sum of positive squares in 2 ways, for example, as 393129 + 94864 = 627^2 + 308^2 .

It is not a de Polignac number, because 487993 - 2⁹ = 487481 is a prime.

Its product of digits (54432) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4423 + ... + 4531.

2⁴⁸⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

487993 is a deficient number, since it is larger than the sum of its proper divisors (67947).

487993 is a wasteful number, since it uses less digits than its factorization.

487993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 487993 is about 698.5649576095. The cubic root of 487993 is about 78.7295672193.

Subtracting from 487993 its reverse (399784), we obtain a square (88209 = 297²).

The spelling of 487993 in words is "four hundred eighty-seven thousand, nine hundred ninety-three".