967944 has 32 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 312000.

The previous prime is 967937. The next prime is 967951. The reversal of 967944 is 449769.

It is an interprime number because it is at equal distance from previous prime (967937) and next prime (967951).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 967944.

It is an unprimeable number.

967944 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 7 ways as a sum of consecutive naturals, for example, 94 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

2⁹⁶⁷⁹⁴⁴ 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 967944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

967944 is an abundant number, since it is smaller than the sum of its proper divisors (1531896).

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

967944 is a wasteful number, since it uses less digits than its factorization.

967944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1337 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 967944 is about 983.8414506413. The cubic root of 967944 is about 98.9198412463.

The spelling of 967944 in words is "nine hundred sixty-seven thousand, nine hundred forty-four".