10715965 has 16 divisors (see below), whose sum is σ = 14189616. Its totient is φ = 7718400.

The previous prime is 10715963. The next prime is 10715983. The reversal of 10715965 is 56951701.

10715965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5707321 + 5008644 = 2389^2 + 2238^2 .

It is not a de Polignac number, because 10715965 - 2¹ = 10715963 is a prime.

It is a super-2 number, since 2×10715965² = 229663811762450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10715965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10715963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655 + ... + 4675.

It is an arithmetic number, because the mean of its divisors is an integer number (886851).

Almost surely, 2^10715965 is an apocalyptic number.

It is an amenable number.

10715965 is a deficient number, since it is larger than the sum of its proper divisors (3473651).

10715965 is a wasteful number, since it uses less digits than its factorization.

10715965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080.

The product of its (nonzero) digits is 9450, while the sum is 34.

The square root of 10715965 is about 3273.5248586195. The cubic root of 10715965 is about 220.4670861312.

The spelling of 10715965 in words is "ten million, seven hundred fifteen thousand, nine hundred sixty-five".