73180973 has 2 divisors, whose sum is σ = 73180974. Its totient is φ = 73180972.

The previous prime is 73180957. The next prime is 73180981. The reversal of 73180973 is 37908137.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39980329 + 33200644 = 6323^2 + 5762^2 .

It is an emirp because it is prime and its reverse (37908137) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73180973 - 2⁴ = 73180957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73180073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36590486 + 36590487.

It is an arithmetic number, because the mean of its divisors is an integer number (36590487).

Almost surely, 2^73180973 is an apocalyptic number.

It is an amenable number.

73180973 is a deficient number, since it is larger than the sum of its proper divisors (1).

73180973 is an equidigital number, since it uses as much as digits as its factorization.

73180973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 73180973 is about 8554.5878334377. The cubic root of 73180973 is about 418.2789988143.

The spelling of 73180973 in words is "seventy-three million, one hundred eighty thousand, nine hundred seventy-three".