10091965 has 16 divisors (see below), whose sum is σ = 13810608. Its totient is φ = 7013376.

The previous prime is 10091953. The next prime is 10091987. The reversal of 10091965 is 56919001.

It can be written as a sum of positive squares in 8 ways, for example, as 17689 + 10074276 = 133^2 + 3174^2 .

It is a cyclic number.

It is not a de Polignac number, because 10091965 - 2⁵ = 10091933 is a prime.

It is a super-2 number, since 2×10091965² = 203695515122450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3462 + ... + 5671.

It is an arithmetic number, because the mean of its divisors is an integer number (863163).

Almost surely, 2^10091965 is an apocalyptic number.

It is an amenable number.

10091965 is a deficient number, since it is larger than the sum of its proper divisors (3718643).

10091965 is a wasteful number, since it uses less digits than its factorization.

10091965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9168.

The product of its (nonzero) digits is 2430, while the sum is 31.

The square root of 10091965 is about 3176.7853248213. The cubic root of 10091965 is about 216.1018966536.

The spelling of 10091965 in words is "ten million, ninety-one thousand, nine hundred sixty-five".