1005693457 has 2 divisors, whose sum is σ = 1005693458. Its totient is φ = 1005693456.

The previous prime is 1005693431. The next prime is 1005693499. The reversal of 1005693457 is 7543965001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 606932496 + 398760961 = 24636^2 + 19969^2 .

It is an emirp because it is prime and its reverse (7543965001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005693457 - 2⁷ = 1005693329 is a prime.

It is a super-2 number, since 2×1005693457² = 2022838658905221698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005693757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502846728 + 502846729.

It is an arithmetic number, because the mean of its divisors is an integer number (502846729).

Almost surely, 2^1005693457 is an apocalyptic number.

It is an amenable number.

1005693457 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005693457 is an equidigital number, since it uses as much as digits as its factorization.

1005693457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 1005693457 is about 31712.6702912259. The cubic root of 1005693457 is about 1001.8942286323.

The spelling of 1005693457 in words is "one billion, five million, six hundred ninety-three thousand, four hundred fifty-seven".