52973 has 2 divisors, whose sum is σ = 52974. Its totient is φ = 52972.

The previous prime is 52967. The next prime is 52981. The reversal of 52973 is 37925.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51529 + 1444 = 227^2 + 38^2 .

It is a cyclic number.

It is not a de Polignac number, because 52973 - 2⁴ = 52957 is a prime.

It is a super-2 number, since 2×52973² = 5612277458, which contains 22 as substring.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52973.

It is not a weakly prime, because it can be changed into another prime (52903) 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, 26486 + 26487.

It is an arithmetic number, because the mean of its divisors is an integer number (26487).

2⁵²⁹⁷³ is an apocalyptic number.

It is an amenable number.

52973 is a deficient number, since it is larger than the sum of its proper divisors (1).

52973 is an equidigital number, since it uses as much as digits as its factorization.

52973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 26.

The square root of 52973 is about 230.1586409414. The cubic root of 52973 is about 37.5564778603.

The spelling of 52973 in words is "fifty-two thousand, nine hundred seventy-three".