10735965 has 24 divisors (see below), whose sum is σ = 18708768. Its totient is φ = 5695200.

The previous prime is 10735961. The next prime is 10735979. The reversal of 10735965 is 56953701.

It is a happy number.

It is not a de Polignac number, because 10735965 - 2² = 10735961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10735961) 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 23 ways as a sum of consecutive naturals, for example, 9690 + ... + 10740.

It is an arithmetic number, because the mean of its divisors is an integer number (779532).

Almost surely, 2^10735965 is an apocalyptic number.

10735965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10735965 is a deficient number, since it is larger than the sum of its proper divisors (7972803).

10735965 is a wasteful number, since it uses less digits than its factorization.

10735965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 10735965 is about 3276.5782456703. The cubic root of 10735965 is about 220.6041589132.

The spelling of 10735965 in words is "ten million, seven hundred thirty-five thousand, nine hundred sixty-five".