10262961 has 12 divisors (see below), whose sum is σ = 14852292. Its totient is φ = 6829056.

The previous prime is 10262929. The next prime is 10262977. The reversal of 10262961 is 16926201.

10262961 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 2 ways, for example, as 1742400 + 8520561 = 1320^2 + 2919^2 .

It is not a de Polignac number, because 10262961 - 2⁵ = 10262929 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10262921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7825 + ... + 9041.

It is an arithmetic number, because the mean of its divisors is an integer number (1237691).

Almost surely, 2^10262961 is an apocalyptic number.

It is an amenable number.

10262961 is a deficient number, since it is larger than the sum of its proper divisors (4589331).

10262961 is a wasteful number, since it uses less digits than its factorization.

10262961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10262961 is about 3203.5856473645. The cubic root of 10262961 is about 217.3155947880.

The spelling of 10262961 in words is "ten million, two hundred sixty-two thousand, nine hundred sixty-one".