965657505 has 32 divisors (see below), whose sum is σ = 1573464960. Its totient is φ = 505612800.

The previous prime is 965657503. The next prime is 965657557. The reversal of 965657505 is 505756569.

It is a happy number.

965657505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 965657505 - 2¹ = 965657503 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (965657503) 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, 248830 + ... + 252680.

It is an arithmetic number, because the mean of its divisors is an integer number (49170780).

Almost surely, 2^965657505 is an apocalyptic number.

It is an amenable number.

965657505 is a deficient number, since it is larger than the sum of its proper divisors (607807455).

965657505 is a wasteful number, since it uses less digits than its factorization.

965657505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161.

The product of its (nonzero) digits is 1417500, while the sum is 48.

The square root of 965657505 is about 31075.0302493819. The cubic root of 965657505 is about 988.4188974913.

It can be divided in two parts, 9656 and 57505, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 965657505 in words is "nine hundred sixty-five million, six hundred fifty-seven thousand, five hundred five".