488097 has 12 divisors (see below), whose sum is σ = 711204. Its totient is φ = 322560.

The previous prime is 488069. The next prime is 488119. The reversal of 488097 is 790884.

It can be written as a sum of positive squares in 2 ways, for example, as 221841 + 266256 = 471^2 + 516^2 .

It is not a de Polignac number, because 488097 - 2¹⁰ = 487073 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1597 + ... + 1877.

It is an arithmetic number, because the mean of its divisors is an integer number (59267).

2⁴⁸⁸⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

488097 is a deficient number, since it is larger than the sum of its proper divisors (223107).

488097 is a wasteful number, since it uses less digits than its factorization.

488097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 488097 is about 698.6393919613. The cubic root of 488097 is about 78.7351597130.

Subtracting from 488097 its product of nonzero digits (16128), we obtain a square (471969 = 687²).

The spelling of 488097 in words is "four hundred eighty-eight thousand, ninety-seven".