9971400 has 48 divisors (see below), whose sum is σ = 30913200. Its totient is φ = 2658880.

The previous prime is 9971393. The next prime is 9971407. The reversal of 9971400 is 41799.

It is an interprime number because it is at equal distance from previous prime (9971393) and next prime (9971407).

It is a super-3 number, since 3×9971400³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9971407) 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, 7710 + ... + 8909.

It is an arithmetic number, because the mean of its divisors is an integer number (644025).

Almost surely, 2^9971400 is an apocalyptic number.

It is an amenable number.

9971400 is an abundant number, since it is smaller than the sum of its proper divisors (20941800).

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

9971400 is a wasteful number, since it uses less digits than its factorization.

9971400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16638 (or 16629 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 9971400 is about 3157.7523652117. The cubic root of 9971400 is about 215.2378834464.

The spelling of 9971400 in words is "nine million, nine hundred seventy-one thousand, four hundred".