497025 has 27 divisors (see below), whose sum is σ = 909571. Its totient is φ = 259440.

The previous prime is 497017. The next prime is 497041. The reversal of 497025 is 520794.

The square root of 497025 is 705.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 178929 + 318096 = 423^2 + 564^2 .

It is not a de Polignac number, because 497025 - 2³ = 497017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 497025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10552 + ... + 10598.

497025 is a Friedman number, since it can be written as 9*(47*5)^(2+0), using all its digits and the basic arithmetic operations.

2⁴⁹⁷⁰²⁵ is an apocalyptic number.

497025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

497025 is the 705-th square number.

497025 is the 353-rd centered octagonal number.

It is an amenable number.

497025 is a deficient number, since it is larger than the sum of its proper divisors (412546).

497025 is a wasteful number, since it uses less digits than its factorization.

497025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 497025 is about 79.2123220804.

The spelling of 497025 in words is "four hundred ninety-seven thousand, twenty-five".