971948100 has 72 divisors (see below), whose sum is σ = 2819069568. Its totient is φ = 258550400.

The previous prime is 971948063. The next prime is 971948101. The reversal of 971948100 is 1849179.

It is a happy number.

It is a super-2 number, since 2×971948100² = 1889366218187220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (971948101) 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, 125542 + ... + 133058.

It is an arithmetic number, because the mean of its divisors is an integer number (39153744).

Almost surely, 2^971948100 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 971948100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409534784).

971948100 is an abundant number, since it is smaller than the sum of its proper divisors (1847121468).

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

971948100 is a wasteful number, since it uses less digits than its factorization.

971948100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7965 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 971948100 is about 31176.0821784906. The cubic root of 971948100 is about 990.5605436937.

The spelling of 971948100 in words is "nine hundred seventy-one million, nine hundred forty-eight thousand, one hundred".