165031973 has 2 divisors, whose sum is σ = 165031974. Its totient is φ = 165031972.

The previous prime is 165031931. The next prime is 165032033. The reversal of 165031973 is 379130561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85340644 + 79691329 = 9238^2 + 8927^2 .

It is an emirp because it is prime and its reverse (379130561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165031973 - 2⁸ = 165031717 is a prime.

It is a super-2 number, since 2×165031973² = 54471104224545458, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165031913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82515986 + 82515987.

It is an arithmetic number, because the mean of its divisors is an integer number (82515987).

Almost surely, 2^165031973 is an apocalyptic number.

It is an amenable number.

165031973 is a deficient number, since it is larger than the sum of its proper divisors (1).

165031973 is an equidigital number, since it uses as much as digits as its factorization.

165031973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 165031973 is about 12846.4770657173. The cubic root of 165031973 is about 548.5160803733.

The spelling of 165031973 in words is "one hundred sixty-five million, thirty-one thousand, nine hundred seventy-three".