2012967 has 12 divisors (see below), whose sum is σ = 3172104. Its totient is φ = 1219920.

The previous prime is 2012957. The next prime is 2012971. The reversal of 2012967 is 7692102.

It is not a de Polignac number, because 2012967 - 2⁴ = 2012951 is a prime.

It is a super-2 number, since 2×2012967² = 8104072286178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2012967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10068 + ... + 10265.

It is an arithmetic number, because the mean of its divisors is an integer number (264342).

2^2012967 is an apocalyptic number.

2012967 is a deficient number, since it is larger than the sum of its proper divisors (1159137).

2012967 is a wasteful number, since it uses less digits than its factorization.

2012967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20350 (or 20347 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2012967 is about 1418.7906822361. The cubic root of 2012967 is about 126.2638085736.

The spelling of 2012967 in words is "two million, twelve thousand, nine hundred sixty-seven".