10964201 has 16 divisors (see below), whose sum is σ = 12030480. Its totient is φ = 9953280.

The previous prime is 10964189. The next prime is 10964203. The reversal of 10964201 is 10246901.

It is a happy number.

10964201 is digitally balanced in base 3, 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 8 ways, for example, as 67600 + 10896601 = 260^2 + 3301^2 .

It is a cyclic number.

It is not a de Polignac number, because 10964201 - 2¹⁰ = 10963177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10964203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100535 + ... + 100643.

It is an arithmetic number, because the mean of its divisors is an integer number (751905).

Almost surely, 2^10964201 is an apocalyptic number.

It is an amenable number.

10964201 is a deficient number, since it is larger than the sum of its proper divisors (1066279).

10964201 is a wasteful number, since it uses less digits than its factorization.

10964201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10964201 is about 3311.2234898901. The cubic root of 10964201 is about 222.1564854541.

The spelling of 10964201 in words is "ten million, nine hundred sixty-four thousand, two hundred one".