96965513 has 8 divisors (see below), whose sum is σ = 97794216. Its totient is φ = 96140800.

The previous prime is 96965459. The next prime is 96965527. The reversal of 96965513 is 31556969.

It can be written as a sum of positive squares in 4 ways, for example, as 7795264 + 89170249 = 2792^2 + 9443^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 96965513 - 2¹⁰ = 96964489 is a prime.

It is a super-2 number, since 2×96965513² = 18804621422706338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (96965213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64733 + ... + 66213.

It is an arithmetic number, because the mean of its divisors is an integer number (12224277).

Almost surely, 2^96965513 is an apocalyptic number.

96965513 is the 5264-th centered heptagonal number.

It is an amenable number.

96965513 is a deficient number, since it is larger than the sum of its proper divisors (828703).

96965513 is a wasteful number, since it uses less digits than its factorization.

96965513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995.

The product of its digits is 218700, while the sum is 44.

The square root of 96965513 is about 9847.1068339894. The cubic root of 96965513 is about 459.4156300343.

The spelling of 96965513 in words is "ninety-six million, nine hundred sixty-five thousand, five hundred thirteen".