321973 has 4 divisors (see below), whose sum is σ = 329868. Its totient is φ = 314080.

The previous prime is 321961. The next prime is 321983. The reversal of 321973 is 379123.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 10609 + 311364 = 103^2 + 558^2 .

It is a cyclic number.

It is not a de Polignac number, because 321973 - 2¹⁷ = 190901 is a prime.

It is a super-2 number, since 2×321973² = 207333225458, which contains 22 as substring.

It is a Duffinian number.

321973 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321983) 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 3 ways as a sum of consecutive naturals, for example, 3886 + ... + 3967.

It is an arithmetic number, because the mean of its divisors is an integer number (82467).

2³²¹⁹⁷³ is an apocalyptic number.

It is an amenable number.

321973 is a deficient number, since it is larger than the sum of its proper divisors (7895).

321973 is an equidigital number, since it uses as much as digits as its factorization.

321973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894.

The product of its digits is 1134, while the sum is 25.

The square root of 321973 is about 567.4266472417. The cubic root of 321973 is about 68.5393242158.

It can be divided in two parts, 32 and 1973, that multiplied together give a palindrome (63136).

The spelling of 321973 in words is "three hundred twenty-one thousand, nine hundred seventy-three".