487971 has 32 divisors (see below), whose sum is σ = 829440. Its totient is φ = 280800.

The previous prime is 487943. The next prime is 487973. The reversal of 487971 is 179784.

It is not a de Polignac number, because 487971 - 2⁷ = 487843 is a prime.

Its product of digits (14112) is a multiple of the sum of its prime divisors (98).

487971 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (487973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9181 + ... + 9233.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2⁴⁸⁷⁹⁷¹ is an apocalyptic number.

487971 is a deficient number, since it is larger than the sum of its proper divisors (341469).

487971 is a wasteful number, since it uses less digits than its factorization.

487971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 487971 is about 698.5492108649. The cubic root of 487971 is about 78.7283840899.

It can be divided in two parts, 4879 and 71, that added together give a triangular number (4950 = T₉₉).

The spelling of 487971 in words is "four hundred eighty-seven thousand, nine hundred seventy-one".