967032 has 96 divisors (see below), whose sum is σ = 3032400. Its totient is φ = 285120.

The previous prime is 967019. The next prime is 967049. The reversal of 967032 is 230769.

967032 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 (27).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 966987 and 967005.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 967032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26118 + ... + 26154.

2⁹⁶⁷⁰³² 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 967032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516200).

967032 is an abundant number, since it is smaller than the sum of its proper divisors (2065368).

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

967032 is a wasteful number, since it uses less digits than its factorization.

967032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 967032 is about 983.3778520996. The cubic root of 967032 is about 98.8887639513. Note that the first 3 decimals are identical.

The spelling of 967032 in words is "nine hundred sixty-seven thousand, thirty-two".