967992 has 32 divisors (see below), whose sum is σ = 2468880. Its totient is φ = 316160.

The previous prime is 967979. The next prime is 967999. The reversal of 967992 is 299769.

967992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967999) 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, 892 + ... + 1652.

2⁹⁶⁷⁹⁹² 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 967992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234440).

967992 is an abundant number, since it is smaller than the sum of its proper divisors (1500888).

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

967992 is a wasteful number, since it uses less digits than its factorization.

967992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 819 counting only the distinct ones).

The product of its digits is 61236, while the sum is 42.

The square root of 967992 is about 983.8658445134. The cubic root of 967992 is about 98.9214763525.

The spelling of 967992 in words is "nine hundred sixty-seven thousand, nine hundred ninety-two".