973000409 has 2 divisors, whose sum is σ = 973000410. Its totient is φ = 973000408.

The previous prime is 973000403. The next prime is 973000459. The reversal of 973000409 is 904000379.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 798232009 + 174768400 = 28253^2 + 13220^2 .

It is an emirp because it is prime and its reverse (904000379) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 973000409 - 2²⁸ = 704564953 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (973000403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486500204 + 486500205.

It is an arithmetic number, because the mean of its divisors is an integer number (486500205).

Almost surely, 2^973000409 is an apocalyptic number.

It is an amenable number.

973000409 is a deficient number, since it is larger than the sum of its proper divisors (1).

973000409 is an equidigital number, since it uses as much as digits as its factorization.

973000409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 973000409 is about 31192.9544769328. The cubic root of 973000409 is about 990.9179015316.

Adding to 973000409 its sum of digits (32), we get a triangular number (973000441 = T₄₄₁₁₃).

The spelling of 973000409 in words is "nine hundred seventy-three million, four hundred nine", and thus it is an aban number.