971257496 has 64 divisors (see below), whose sum is σ = 2015193600. Its totient is φ = 435196800.

The previous prime is 971257459. The next prime is 971257513. The reversal of 971257496 is 694752179.

971257496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×971257496² = 1886682247072380032, which contains 22 as substring.

Its product of digits (952560) is a multiple of the sum of its prime factors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3314726 + ... + 3315018.

It is an arithmetic number, because the mean of its divisors is an integer number (31487400).

Almost surely, 2^971257496 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 971257496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007596800).

971257496 is an abundant number, since it is smaller than the sum of its proper divisors (1043936104).

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

971257496 is a wasteful number, since it uses less digits than its factorization.

971257496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 716 counting only the distinct ones).

The product of its digits is 952560, while the sum is 50.

The square root of 971257496 is about 31165.0043478258. The cubic root of 971257496 is about 990.3258785025.

The spelling of 971257496 in words is "nine hundred seventy-one million, two hundred fifty-seven thousand, four hundred ninety-six".