249147761 has 2 divisors, whose sum is σ = 249147762. Its totient is φ = 249147760.

The previous prime is 249147697. The next prime is 249147763. The reversal of 249147761 is 167741942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239661361 + 9486400 = 15481^2 + 3080^2 .

It is a cyclic number.

It is not a de Polignac number, because 249147761 - 2⁶ = 249147697 is a prime.

It is a super-2 number, since 2×249147761² = 124149213622626242, which contains 22 as substring.

Together with 249147763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (249147763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124573880 + 124573881.

It is an arithmetic number, because the mean of its divisors is an integer number (124573881).

Almost surely, 2^249147761 is an apocalyptic number.

It is an amenable number.

249147761 is a deficient number, since it is larger than the sum of its proper divisors (1).

249147761 is an equidigital number, since it uses as much as digits as its factorization.

249147761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84672, while the sum is 41.

The square root of 249147761 is about 15784.4151301212. The cubic root of 249147761 is about 629.2438740820.

The spelling of 249147761 in words is "two hundred forty-nine million, one hundred forty-seven thousand, seven hundred sixty-one".