967965 has 16 divisors (see below), whose sum is σ = 1582848. Its totient is φ = 504896.

The previous prime is 967961. The next prime is 967979. The reversal of 967965 is 569769.

967965 = T₁₇₉ + T₁₈₀ + ... + T₂₂₅.

It is a cyclic number.

It is not a de Polignac number, because 967965 - 2² = 967961 is a prime.

It is a house number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967961) 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 15 ways as a sum of consecutive naturals, for example, 19 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (98928).

2⁹⁶⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

967965 is a deficient number, since it is larger than the sum of its proper divisors (614883).

967965 is a wasteful number, since it uses less digits than its factorization.

967965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428.

The product of its digits is 102060, while the sum is 42.

The square root of 967965 is about 983.8521230348. The cubic root of 967965 is about 98.9205566119.

The spelling of 967965 in words is "nine hundred sixty-seven thousand, nine hundred sixty-five".