473953 has 2 divisors, whose sum is σ = 473954. Its totient is φ = 473952.

The previous prime is 473951. The next prime is 473971. The reversal of 473953 is 359374.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399424 + 74529 = 632^2 + 273^2 .

It is a cyclic number.

It is not a de Polignac number, because 473953 - 2¹ = 473951 is a prime.

Together with 473951, it forms a pair of twin primes.

473953 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (473951) 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, 236976 + 236977.

It is an arithmetic number, because the mean of its divisors is an integer number (236977).

2⁴⁷³⁹⁵³ is an apocalyptic number.

It is an amenable number.

473953 is a deficient number, since it is larger than the sum of its proper divisors (1).

473953 is an equidigital number, since it uses as much as digits as its factorization.

473953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11340, while the sum is 31.

The square root of 473953 is about 688.4424449437. The cubic root of 473953 is about 77.9671678608.

The spelling of 473953 in words is "four hundred seventy-three thousand, nine hundred fifty-three".