488131 has 8 divisors (see below), whose sum is σ = 563040. Its totient is φ = 414528.

The previous prime is 488119. The next prime is 488143. The reversal of 488131 is 131884.

It is an interprime number because it is at equal distance from previous prime (488119) and next prime (488143).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 488131 - 2⁷ = 488003 is a prime.

It is a super-2 number, since 2×488131² = 476543746322, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 488096 and 488105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488161) 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 7 ways as a sum of consecutive naturals, for example, 705 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (70380).

2⁴⁸⁸¹³¹ is an apocalyptic number.

488131 is a deficient number, since it is larger than the sum of its proper divisors (74909).

488131 is a wasteful number, since it uses less digits than its factorization.

488131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653.

The product of its digits is 768, while the sum is 25.

The square root of 488131 is about 698.6637245485. The cubic root of 488131 is about 78.7369878560.

The spelling of 488131 in words is "four hundred eighty-eight thousand, one hundred thirty-one".