472993 has 2 divisors, whose sum is σ = 472994. Its totient is φ = 472992.

The previous prime is 472963. The next prime is 473009. The reversal of 472993 is 399274.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 471969 + 1024 = 687^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 472993 - 2¹³ = 464801 is a prime.

472993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (472963) 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 as a sum of consecutive naturals, namely, 236496 + 236497.

It is an arithmetic number, because the mean of its divisors is an integer number (236497).

2⁴⁷²⁹⁹³ is an apocalyptic number.

It is an amenable number.

472993 is a deficient number, since it is larger than the sum of its proper divisors (1).

472993 is an equidigital number, since it uses as much as digits as its factorization.

472993 is an odious number, because the sum of its binary digits is odd.

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

The square root of 472993 is about 687.7448654843. The cubic root of 472993 is about 77.9144909964.

The spelling of 472993 in words is "four hundred seventy-two thousand, nine hundred ninety-three".