975782961 has 24 divisors (see below), whose sum is σ = 1449676800. Its totient is φ = 632118816.

The previous prime is 975782959. The next prime is 975782987. The reversal of 975782961 is 169287579.

975782961 is a `hidden beast` number, since 9 + 7 + 578 + 2 + 9 + 61 = 666.

It is not a de Polignac number, because 975782961 - 2¹ = 975782959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 975782898 and 975782907.

It is not an unprimeable number, because it can be changed into a prime (975782761) 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, 69840 + ... + 82638.

It is an arithmetic number, because the mean of its divisors is an integer number (60403200).

Almost surely, 2^975782961 is an apocalyptic number.

It is an amenable number.

975782961 is a deficient number, since it is larger than the sum of its proper divisors (473893839).

975782961 is a wasteful number, since it uses less digits than its factorization.

975782961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13045 (or 13042 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 975782961 is about 31237.5248859445. The cubic root of 975782961 is about 991.8615997870.

The spelling of 975782961 in words is "nine hundred seventy-five million, seven hundred eighty-two thousand, nine hundred sixty-one".