10771965 has 24 divisors (see below), whose sum is σ = 19771128. Its totient is φ = 5406720.

The previous prime is 10771949. The next prime is 10771991. The reversal of 10771965 is 56917701.

It can be written as a sum of positive squares in 4 ways, for example, as 3944196 + 6827769 = 1986^2 + 2613^2 .

It is not a de Polignac number, because 10771965 - 2⁴ = 10771949 is a prime.

It is a super-2 number, since 2×10771965² = 232070459922450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6276 + ... + 7805.

It is an arithmetic number, because the mean of its divisors is an integer number (823797).

Almost surely, 2^10771965 is an apocalyptic number.

10771965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10771965 is a deficient number, since it is larger than the sum of its proper divisors (8999163).

10771965 is a wasteful number, since it uses less digits than its factorization.

10771965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14109 (or 14106 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 10771965 is about 3282.0671839559. The cubic root of 10771965 is about 220.8504615487.

The spelling of 10771965 in words is "ten million, seven hundred seventy-one thousand, nine hundred sixty-five".