755257 has 2 divisors, whose sum is σ = 755258. Its totient is φ = 755256.

The previous prime is 755239. The next prime is 755267. The reversal of 755257 is 752557.

755257 is nontrivially palindromic in base 7.

755257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 89401 = 816^2 + 299^2 .

It is a cyclic number.

It is not a de Polignac number, because 755257 - 2¹⁵ = 722489 is a prime.

It is an Ulam number.

755257 is a lucky number.

It is a nialpdrome in base 15.

It is not a weakly prime, because it can be changed into another prime (755267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 377628 + 377629.

It is an arithmetic number, because the mean of its divisors is an integer number (377629).

2⁷⁵⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

755257 is a deficient number, since it is larger than the sum of its proper divisors (1).

755257 is an equidigital number, since it uses as much as digits as its factorization.

755257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12250, while the sum is 31.

The square root of 755257 is about 869.0552341480. The cubic root of 755257 is about 91.0678156491.

The spelling of 755257 in words is "seven hundred fifty-five thousand, two hundred fifty-seven".