971753312 has 48 divisors (see below), whose sum is σ = 2014800480. Its totient is φ = 460449792.

The previous prime is 971753291. The next prime is 971753329. The reversal of 971753312 is 213357179.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74168 + ... + 86280.

It is an arithmetic number, because the mean of its divisors is an integer number (41975010).

Almost surely, 2^971753312 is an apocalyptic number.

971753312 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971753312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007400240).

971753312 is an abundant number, since it is smaller than the sum of its proper divisors (1043047168).

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

971753312 is a wasteful number, since it uses less digits than its factorization.

971753312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12255 (or 12247 counting only the distinct ones).

The product of its digits is 39690, while the sum is 38.

The square root of 971753312 is about 31172.9580245443. The cubic root of 971753312 is about 990.4943665668.

It can be divided in two parts, 97175 and 3312, that multiplied together give a square (321843600 = 17940²).

The spelling of 971753312 in words is "nine hundred seventy-one million, seven hundred fifty-three thousand, three hundred twelve".