973662257 has 2 divisors, whose sum is σ = 973662258. Its totient is φ = 973662256.

The previous prime is 973662227. The next prime is 973662259. The reversal of 973662257 is 752266379.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 555827776 + 417834481 = 23576^2 + 20441^2 .

It is an emirp because it is prime and its reverse (752266379) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 973662257 - 2¹⁴ = 973645873 is a prime.

Together with 973662259, it forms a pair of twin primes.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 973662257 parts by 44128 straight cuts.

It is not a weakly prime, because it can be changed into another prime (973662259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486831128 + 486831129.

It is an arithmetic number, because the mean of its divisors is an integer number (486831129).

Almost surely, 2^973662257 is an apocalyptic number.

It is an amenable number.

973662257 is a deficient number, since it is larger than the sum of its proper divisors (1).

973662257 is an equidigital number, since it uses as much as digits as its factorization.

973662257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 952560, while the sum is 47.

The square root of 973662257 is about 31203.5616076114. The cubic root of 973662257 is about 991.1425291810.

The spelling of 973662257 in words is "nine hundred seventy-three million, six hundred sixty-two thousand, two hundred fifty-seven".