971253920 has 192 divisors, whose sum is σ = 2894766336. Its totient is φ = 299704320.

The previous prime is 971253917. The next prime is 971253923. The reversal of 971253920 is 29352179.

It is an interprime number because it is at equal distance from previous prime (971253917) and next prime (971253923).

It is not an unprimeable number, because it can be changed into a prime (971253923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596147 + ... + 597773.

It is an arithmetic number, because the mean of its divisors is an integer number (15076908).

Almost surely, 2^971253920 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 971253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447383168).

971253920 is an abundant number, since it is smaller than the sum of its proper divisors (1923512416).

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

971253920 is a wasteful number, since it uses less digits than its factorization.

971253920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 971253920 is about 31164.9469757290. The cubic root of 971253920 is about 990.3246630989.

The spelling of 971253920 in words is "nine hundred seventy-one million, two hundred fifty-three thousand, nine hundred twenty".