752967 has 6 divisors (see below), whose sum is σ = 1087632. Its totient is φ = 501972.

The previous prime is 752933. The next prime is 752977. The reversal of 752967 is 769257.

It is not a de Polignac number, because 752967 - 2⁶ = 752903 is a prime.

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 752967.

It is not an unprimeable number, because it can be changed into a prime (752977) 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 5 ways as a sum of consecutive naturals, for example, 41823 + ... + 41840.

It is an arithmetic number, because the mean of its divisors is an integer number (181272).

2⁷⁵²⁹⁶⁷ is an apocalyptic number.

752967 is a deficient number, since it is larger than the sum of its proper divisors (334665).

752967 is a wasteful number, since it uses less digits than its factorization.

752967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83669 (or 83666 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 752967 is about 867.7367112206. The cubic root of 752967 is about 90.9756808178.

Subtracting 752967 from its reverse (769257), we obtain a triangular number (16290 = T₁₈₀).

The spelling of 752967 in words is "seven hundred fifty-two thousand, nine hundred sixty-seven".