264917641 has 2 divisors, whose sum is σ = 264917642. Its totient is φ = 264917640.

The previous prime is 264917617. The next prime is 264917651. The reversal of 264917641 is 146719462.

264917641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139925241 + 124992400 = 11829^2 + 11180^2 .

It is a cyclic number.

It is not a de Polignac number, because 264917641 - 2²³ = 256529033 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 264917594 and 264917603.

It is not a weakly prime, because it can be changed into another prime (264917651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132458820 + 132458821.

It is an arithmetic number, because the mean of its divisors is an integer number (132458821).

Almost surely, 2^264917641 is an apocalyptic number.

It is an amenable number.

264917641 is a deficient number, since it is larger than the sum of its proper divisors (1).

264917641 is an equidigital number, since it uses as much as digits as its factorization.

264917641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72576, while the sum is 40.

The square root of 264917641 is about 16276.2907629472. The cubic root of 264917641 is about 642.2492804656.

The spelling of 264917641 in words is "two hundred sixty-four million, nine hundred seventeen thousand, six hundred forty-one".