971424 has 36 divisors (see below), whose sum is σ = 2763306. Its totient is φ = 323712.

The previous prime is 971419. The next prime is 971429. The reversal of 971424 is 424179.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (971419) and next prime (971429).

It can be written as a sum of positive squares in only one way, i.e., 535824 + 435600 = 732^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (971429) by changing a digit.

971424 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 5 ways as a sum of consecutive naturals, for example, 1399 + ... + 1974.

2⁹⁷¹⁴²⁴ is an apocalyptic number.

It is an amenable number.

971424 is an abundant number, since it is smaller than the sum of its proper divisors (1791882).

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

971424 is a wasteful number, since it uses less digits than its factorization.

971424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3378 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 971424 is about 985.6084415223. The cubic root of 971424 is about 99.0382466242.

It can be divided in two parts, 97 and 1424, that added together give a square (1521 = 39²).

The spelling of 971424 in words is "nine hundred seventy-one thousand, four hundred twenty-four".