967012 has 18 divisors (see below), whose sum is σ = 1772918. Its totient is φ = 461472.

The previous prime is 967003. The next prime is 967019. The reversal of 967012 is 210769.

It can be written as a sum of positive squares in only one way, i.e., 933156 + 33856 = 966^2 + 184^2 .

It is a super-2 number, since 2×967012² = 1870224416288, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967019) by changing a digit.

967012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1888 + ... + 2344.

2⁹⁶⁷⁰¹² is an apocalyptic number.

967012 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

967012 is a deficient number, since it is larger than the sum of its proper divisors (805906).

967012 is a wasteful number, since it uses less digits than its factorization.

967012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 967012 is about 983.3676830159. The cubic root of 967012 is about 98.8880822127. Note that the first 3 decimals are identical.

The spelling of 967012 in words is "nine hundred sixty-seven thousand, twelve".