10357965 has 24 divisors (see below), whose sum is σ = 18442008. Its totient is φ = 5374080.

The previous prime is 10357933. The next prime is 10357973. The reversal of 10357965 is 56975301.

It is a happy number.

10357965 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 4 ways, for example, as 660969 + 9696996 = 813^2 + 3114^2 .

It is not a de Polignac number, because 10357965 - 2⁵ = 10357933 is a prime.

It is a super-3 number, since 3×10357965³ (a number of 22 digits) contains 333 as substring.

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, 1446 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (768417).

Almost surely, 2^10357965 is an apocalyptic number.

10357965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10357965 is a deficient number, since it is larger than the sum of its proper divisors (8084043).

10357965 is a wasteful number, since it uses less digits than its factorization.

10357965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6266 counting only the distinct ones).

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

The square root of 10357965 is about 3218.3792504924. The cubic root of 10357965 is about 217.9840981022.

The spelling of 10357965 in words is "ten million, three hundred fifty-seven thousand, nine hundred sixty-five".