755967 has 8 divisors (see below), whose sum is σ = 1025280. Its totient is φ = 495320.

The previous prime is 755959. The next prime is 755969. The reversal of 755967 is 769557.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 755967 - 2³ = 755959 is a prime.

It is a super-2 number, since 2×755967² = 1142972210178, which contains 22 as substring.

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 755967.

It is not an unprimeable number, because it can be changed into a prime (755969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1959 + ... + 2312.

It is an arithmetic number, because the mean of its divisors is an integer number (128160).

2⁷⁵⁵⁹⁶⁷ is an apocalyptic number.

755967 is a deficient number, since it is larger than the sum of its proper divisors (269313).

755967 is a wasteful number, since it uses less digits than its factorization.

755967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333.

The product of its digits is 66150, while the sum is 39.

The square root of 755967 is about 869.4636277614. The cubic root of 755967 is about 91.0963436418.

It can be divided in two parts, 7559 and 67, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 755967 in words is "seven hundred fifty-five thousand, nine hundred sixty-seven".