967311 has 12 divisors (see below), whose sum is σ = 1458288. Its totient is φ = 616704.

The previous prime is 967297. The next prime is 967319. The reversal of 967311 is 113769.

It is not a de Polignac number, because 967311 - 2¹⁴ = 950927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967319) 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 in 11 ways as a sum of consecutive naturals, for example, 2130 + ... + 2543.

It is an arithmetic number, because the mean of its divisors is an integer number (121524).

2⁹⁶⁷³¹¹ is an apocalyptic number.

967311 is a deficient number, since it is larger than the sum of its proper divisors (490977).

967311 is a wasteful number, since it uses less digits than its factorization.

967311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4699 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 967311 is about 983.5196998535. The cubic root of 967311 is about 98.8982732237.

The spelling of 967311 in words is "nine hundred sixty-seven thousand, three hundred eleven".