10356641 has 12 divisors (see below), whose sum is σ = 10896252. Its totient is φ = 9840000.

The previous prime is 10356631. The next prime is 10356649. The reversal of 10356641 is 14665301.

10356641 = 41³ + 42³ + ... + 81³.

It can be written as a sum of positive squares in 6 ways, for example, as 3045025 + 7311616 = 1745^2 + 2704^2 .

It is not a de Polignac number, because 10356641 - 2²² = 6162337 is a prime.

It is a super-3 number, since 3×10356641³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10356641.

It is not an unprimeable number, because it can be changed into a prime (10356649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102491 + ... + 102591.

It is an arithmetic number, because the mean of its divisors is an integer number (908021).

Almost surely, 2^10356641 is an apocalyptic number.

It is an amenable number.

10356641 is a deficient number, since it is larger than the sum of its proper divisors (539611).

10356641 is an equidigital number, since it uses as much as digits as its factorization.

10356641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 10356641 is about 3218.1735503232. The cubic root of 10356641 is about 217.9748098156.

The spelling of 10356641 in words is "ten million, three hundred fifty-six thousand, six hundred forty-one".