248208641 has 2 divisors, whose sum is σ = 248208642. Its totient is φ = 248208640.

The previous prime is 248208613. The next prime is 248208659. The reversal of 248208641 is 146802842.

248208641 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., 247747600 + 461041 = 15740^2 + 679^2 .

It is a cyclic number.

It is not a de Polignac number, because 248208641 - 2¹⁴ = 248192257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (248208241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124104320 + 124104321.

It is an arithmetic number, because the mean of its divisors is an integer number (124104321).

Almost surely, 2^248208641 is an apocalyptic number.

It is an amenable number.

248208641 is a deficient number, since it is larger than the sum of its proper divisors (1).

248208641 is an equidigital number, since it uses as much as digits as its factorization.

248208641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 248208641 is about 15754.6387137249. The cubic root of 248208641 is about 628.4522694799.

The spelling of 248208641 in words is "two hundred forty-eight million, two hundred eight thousand, six hundred forty-one".