172536257 has 2 divisors, whose sum is σ = 172536258. Its totient is φ = 172536256.

The previous prime is 172536191. The next prime is 172536263. The reversal of 172536257 is 752635271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121969936 + 50566321 = 11044^2 + 7111^2 .

It is a cyclic number.

It is not a de Polignac number, because 172536257 - 2¹⁴ = 172519873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 172536257.

It is not a weakly prime, because it can be changed into another prime (172526257) 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, 86268128 + 86268129.

It is an arithmetic number, because the mean of its divisors is an integer number (86268129).

Almost surely, 2^172536257 is an apocalyptic number.

It is an amenable number.

172536257 is a deficient number, since it is larger than the sum of its proper divisors (1).

172536257 is an equidigital number, since it uses as much as digits as its factorization.

172536257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 88200, while the sum is 38.

The square root of 172536257 is about 13135.3057444431. The cubic root of 172536257 is about 556.7071392201.

The spelling of 172536257 in words is "one hundred seventy-two million, five hundred thirty-six thousand, two hundred fifty-seven".