1005708497 has 2 divisors, whose sum is σ = 1005708498. Its totient is φ = 1005708496.

The previous prime is 1005708493. The next prime is 1005708499. The reversal of 1005708497 is 7948075001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 939790336 + 65918161 = 30656^2 + 8119^2 .

It is an emirp because it is prime and its reverse (7948075001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005708497 - 2² = 1005708493 is a prime.

It is a super-2 number, since 2×1005708497² = 2022899161875998018, which contains 22 as substring.

Together with 1005708499, 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 (1005708493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502854248 + 502854249.

It is an arithmetic number, because the mean of its divisors is an integer number (502854249).

Almost surely, 2^1005708497 is an apocalyptic number.

It is an amenable number.

1005708497 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005708497 is an equidigital number, since it uses as much as digits as its factorization.

1005708497 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 1005708497 is about 31712.9074195350. The cubic root of 1005708497 is about 1001.8992230018.

The spelling of 1005708497 in words is "one billion, five million, seven hundred eight thousand, four hundred ninety-seven".