971672130 has 192 divisors, whose sum is σ = 3000920832. Its totient is φ = 215032320.

The previous prime is 971672101. The next prime is 971672131. The reversal of 971672130 is 31276179.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (971672131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1325244 + ... + 1325976.

It is an arithmetic number, because the mean of its divisors is an integer number (15629796).

Almost surely, 2^971672130 is an apocalyptic number.

971672130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 971672130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500460416).

971672130 is an abundant number, since it is smaller than the sum of its proper divisors (2029248702).

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

971672130 is a wasteful number, since it uses less digits than its factorization.

971672130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 971672130 is about 31171.6558751697. The cubic root of 971672130 is about 990.4667832449.

The spelling of 971672130 in words is "nine hundred seventy-one million, six hundred seventy-two thousand, one hundred thirty".