338973101 has 2 divisors, whose sum is σ = 338973102. Its totient is φ = 338973100.

The previous prime is 338973059. The next prime is 338973109. The reversal of 338973101 is 101379833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 332187076 + 6786025 = 18226^2 + 2605^2 .

It is an emirp because it is prime and its reverse (101379833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338973101 - 2²⁶ = 271864237 is a prime.

It is a super-2 number, since 2×338973101² = 229805526403112402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338973109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169486550 + 169486551.

It is an arithmetic number, because the mean of its divisors is an integer number (169486551).

Almost surely, 2^338973101 is an apocalyptic number.

It is an amenable number.

338973101 is a deficient number, since it is larger than the sum of its proper divisors (1).

338973101 is an equidigital number, since it uses as much as digits as its factorization.

338973101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 338973101 is about 18411.2221484615. Note that the first 3 decimals coincide. The cubic root of 338973101 is about 697.2498221062.

The spelling of 338973101 in words is "three hundred thirty-eight million, nine hundred seventy-three thousand, one hundred one".