492973 has 6 divisors (see below), whose sum is σ = 533994. Its totient is φ = 454896.

The previous prime is 492967. The next prime is 492979. The reversal of 492973 is 379294.

It is an interprime number because it is at equal distance from previous prime (492967) and next prime (492979).

It can be written as a sum of positive squares in 3 ways, for example, as 66564 + 426409 = 258^2 + 653^2 .

It is not a de Polignac number, because 492973 - 2¹⁷ = 361901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492979) 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 5 ways as a sum of consecutive naturals, for example, 1290 + ... + 1627.

It is an arithmetic number, because the mean of its divisors is an integer number (88999).

2⁴⁹²⁹⁷³ is an apocalyptic number.

It is an amenable number.

492973 is a deficient number, since it is larger than the sum of its proper divisors (41021).

492973 is a wasteful number, since it uses less digits than its factorization.

492973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2930 counting only the distinct ones).

The product of its digits is 13608, while the sum is 34.

The square root of 492973 is about 702.1203600523. The cubic root of 492973 is about 78.9964747666.

The spelling of 492973 in words is "four hundred ninety-two thousand, nine hundred seventy-three".