971400 has 48 divisors (see below), whose sum is σ = 3013200. Its totient is φ = 258880.

The previous prime is 971389. The next prime is 971401. The reversal of 971400 is 4179.

It is not an unprimeable number, because it can be changed into a prime (971401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210 + ... + 1409.

It is an arithmetic number, because the mean of its divisors is an integer number (62775).

2⁹⁷¹⁴⁰⁰ 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 971400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506600).

971400 is an abundant number, since it is smaller than the sum of its proper divisors (2041800).

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

971400 is a wasteful number, since it uses less digits than its factorization.

971400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 971400 is about 985.5962662267. The cubic root of 971400 is about 99.0374310045.

Adding to 971400 its reverse (4179), we get a palindrome (975579).

The spelling of 971400 in words is "nine hundred seventy-one thousand, four hundred".