967932 has 72 divisors (see below), whose sum is σ = 2935296. Its totient is φ = 262944.

The previous prime is 967931. The next prime is 967937. The reversal of 967932 is 239769.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5713 + ... + 5879.

It is an arithmetic number, because the mean of its divisors is an integer number (40768).

2⁹⁶⁷⁹³² is an apocalyptic number.

967932 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648).

967932 is an abundant number, since it is smaller than the sum of its proper divisors (1967364).

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

967932 is a wasteful number, since it uses less digits than its factorization.

967932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 967932 is about 983.8353520788. The cubic root of 967932 is about 98.9194324612.

The spelling of 967932 in words is "nine hundred sixty-seven thousand, nine hundred thirty-two".