967912 has 32 divisors (see below), whose sum is σ = 2099520. Its totient is φ = 413440.

The previous prime is 967903. The next prime is 967919. The reversal of 967912 is 219769.

967912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (967919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1173 + ... + 1819.

It is an arithmetic number, because the mean of its divisors is an integer number (65610).

2⁹⁶⁷⁹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049760).

967912 is an abundant number, since it is smaller than the sum of its proper divisors (1131608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

967912 is a wasteful number, since it uses less digits than its factorization.

967912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its digits is 6804, while the sum is 34.

The square root of 967912 is about 983.8251877239. The cubic root of 967912 is about 98.9187511454.

It can be divided in two parts, 96 and 7912, that added together give a palindrome (8008).

The spelling of 967912 in words is "nine hundred sixty-seven thousand, nine hundred twelve".