103005997 has 2 divisors, whose sum is σ = 103005998. Its totient is φ = 103005996.

The previous prime is 103005989. The next prime is 103006031. The reversal of 103005997 is 799500301.

It is an a-pointer prime, because the next prime (103006031) can be obtained adding 103005997 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100280196 + 2725801 = 10014^2 + 1651^2 .

It is an emirp because it is prime and its reverse (799500301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103005997 - 2³ = 103005989 is a prime.

It is a super-2 number, since 2×103005997² = 21220470835928018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103009997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51502998 + 51502999.

It is an arithmetic number, because the mean of its divisors is an integer number (51502999).

Almost surely, 2^103005997 is an apocalyptic number.

It is an amenable number.

103005997 is a deficient number, since it is larger than the sum of its proper divisors (1).

103005997 is an equidigital number, since it uses as much as digits as its factorization.

103005997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8505, while the sum is 34.

The square root of 103005997 is about 10149.1870117759. The cubic root of 103005997 is about 468.7639120730.

The spelling of 103005997 in words is "one hundred three million, five thousand, nine hundred ninety-seven".