467973 has 24 divisors (see below), whose sum is σ = 767520. Its totient is φ = 272160.

The previous prime is 467963. The next prime is 467977. The reversal of 467973 is 379764.

It is not a de Polignac number, because 467973 - 2⁵ = 467941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2790 + ... + 2952.

It is an arithmetic number, because the mean of its divisors is an integer number (31980).

2⁴⁶⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

467973 is a deficient number, since it is larger than the sum of its proper divisors (299547).

467973 is a wasteful number, since it uses less digits than its factorization.

467973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 206 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 467973 is about 684.0855209694. The cubic root of 467973 is about 77.6378676732.

Subtracting from 467973 its reverse (379764), we obtain a square (88209 = 297²).

The spelling of 467973 in words is "four hundred sixty-seven thousand, nine hundred seventy-three".