965407041 has 9 divisors (see below), whose sum is σ = 1394611491. Its totient is φ = 643542552.

The previous prime is 965407039. The next prime is 965407049. The reversal of 965407041 is 140704569.

The square root of 965407041 is 31071.

It is a perfect power (a square), and thus also a powerful number.

965407041 is a `hidden beast` number, since 9 + 6 + 540 + 70 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 481583025 + 483824016 = 21945^2 + 21996^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 965407041 - 2¹ = 965407039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 965406987 and 965407005.

It is not an unprimeable number, because it can be changed into a prime (965407049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88035 + ... + 98391.

Almost surely, 2^965407041 is an apocalyptic number.

965407041 is the 31071-st square number.

965407041 is the 15536-th centered octagonal number.

It is an amenable number.

965407041 is a deficient number, since it is larger than the sum of its proper divisors (429204450).

965407041 is an frugal number, since it uses more digits than its factorization.

965407041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20720 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 965407041 is about 988.3334342167. Note that the first 3 decimals are identical.

Multiplying 965407041 by its sum of digits (36), we get a square (34754653476 = 186426²).

The spelling of 965407041 in words is "nine hundred sixty-five million, four hundred seven thousand, forty-one".