7912 has 16 divisors (see below), whose sum is σ = 15840. Its totient is φ = 3696.

The previous prime is 7907. The next prime is 7919. The reversal of 7912 is 2197.

7912 is an admirable number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 7912.

It is not an unprimeable number, because it can be changed into a prime (7919) by changing a digit.

7912 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 3 ways as a sum of consecutive naturals, for example, 163 + ... + 205.

It is an arithmetic number, because the mean of its divisors is an integer number (990).

2^{7912} is an apocalyptic number.

It is an amenable number.

7912 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920).

7912 is a wasteful number, since it uses less digits than its factorization.

7912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 68 counting only the distinct ones).

The product of its digits is 126, while the sum is 19.

The square root of 7912 is about 88.9494238317. The cubic root of 7912 is about 19.9263961224.

It can be divided in two parts, 79 and 12, that added together give a triangular number (91 = T_{13}).

The spelling of 7912 in words is "seven thousand, nine hundred twelve".

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