967967 has 16 divisors (see below), whose sum is σ = 1300992. Its totient is φ = 695520.

The previous prime is 967961. The next prime is 967979. The reversal of 967967 is 769769.

It is not a de Polignac number, because 967967 - 2⁴ = 967951 is a prime.

It is a super-2 number, since 2×967967² = 1873920226178, which contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (81312).

2⁹⁶⁷⁹⁶⁷ is an apocalyptic number.

967967 is a deficient number, since it is larger than the sum of its proper divisors (333025).

967967 is a wasteful number, since it uses less digits than its factorization.

967967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998.

The product of its digits is 142884, while the sum is 44.

The square root of 967967 is about 983.8531394471. The cubic root of 967967 is about 98.9206247414.

It can be divided in two parts, 9 and 67967, that added together give a palindrome (67976).

The spelling of 967967 in words is "nine hundred sixty-seven thousand, nine hundred sixty-seven".