10346965 has 16 divisors (see below), whose sum is σ = 13471920. Its totient is φ = 7598080.

The previous prime is 10346953. The next prime is 10346969. The reversal of 10346965 is 56964301.

It can be written as a sum of positive squares in 8 ways, for example, as 2910436 + 7436529 = 1706^2 + 2727^2 .

It is not a de Polignac number, because 10346965 - 2⁵ = 10346933 is a prime.

It is a super-2 number, since 2×10346965² = 214119369422450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10346965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10346969) 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, 2001 + ... + 4969.

It is an arithmetic number, because the mean of its divisors is an integer number (841995).

Almost surely, 2^10346965 is an apocalyptic number.

It is an amenable number.

10346965 is a deficient number, since it is larger than the sum of its proper divisors (3124955).

10346965 is a wasteful number, since it uses less digits than its factorization.

10346965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032.

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 10346965 is about 3216.6698618292. The cubic root of 10346965 is about 217.9069055134.

It can be divided in two parts, 10346 and 965, that added together give a palindrome (11311).

The spelling of 10346965 in words is "ten million, three hundred forty-six thousand, nine hundred sixty-five".