967472 has 40 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 418880.

The previous prime is 967459. The next prime is 967481. The reversal of 967472 is 274769.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3929 + ... + 4167.

It is an arithmetic number, because the mean of its divisors is an integer number (53568).

2⁹⁶⁷⁴⁷² is an apocalyptic number.

967472 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 967472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

967472 is an abundant number, since it is smaller than the sum of its proper divisors (1175248).

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

967472 is a wasteful number, since it uses less digits than its factorization.

967472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its digits is 21168, while the sum is 35.

The square root of 967472 is about 983.6015453424. The cubic root of 967472 is about 98.9037598213.

The spelling of 967472 in words is "nine hundred sixty-seven thousand, four hundred seventy-two".