9513965 has 32 divisors (see below), whose sum is σ = 13115520. Its totient is φ = 6580224.

The previous prime is 9513953. The next prime is 9513967. The reversal of 9513965 is 5693159.

9513965 = T₄₃₀ + T₄₃₁ + ... + T₅₁₄.

It is not a de Polignac number, because 9513965 - 2⁴ = 9513949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9513967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69377 + ... + 69513.

It is an arithmetic number, because the mean of its divisors is an integer number (409860).

Almost surely, 2^9513965 is an apocalyptic number.

9513965 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9513965 is a deficient number, since it is larger than the sum of its proper divisors (3601555).

9513965 is a wasteful number, since it uses less digits than its factorization.

9513965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221.

The product of its digits is 36450, while the sum is 38.

The square root of 9513965 is about 3084.4715916993. The cubic root of 9513965 is about 211.8949060810.

The spelling of 9513965 in words is "nine million, five hundred thirteen thousand, nine hundred sixty-five".