755617 has 2 divisors, whose sum is σ = 755618. Its totient is φ = 755616.

The previous prime is 755597. The next prime is 755627. The reversal of 755617 is 716557.

755617 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., 440896 + 314721 = 664^2 + 561^2 .

It is a cyclic number.

It is not a de Polignac number, because 755617 - 2¹¹ = 753569 is a prime.

It is not a weakly prime, because it can be changed into another prime (755627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 377808 + 377809.

It is an arithmetic number, because the mean of its divisors is an integer number (377809).

2⁷⁵⁵⁶¹⁷ is an apocalyptic number.

It is an amenable number.

755617 is a deficient number, since it is larger than the sum of its proper divisors (1).

755617 is an equidigital number, since it uses as much as digits as its factorization.

755617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7350, while the sum is 31.

The square root of 755617 is about 869.2623309450. The cubic root of 755617 is about 91.0822827802.

Subtracting from 755617 its reverse (716557), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 755617 in words is "seven hundred fifty-five thousand, six hundred seventeen".