82345973 has 2 divisors, whose sum is σ = 82345974. Its totient is φ = 82345972.

The previous prime is 82345897. The next prime is 82345987. The reversal of 82345973 is 37954328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65642404 + 16703569 = 8102^2 + 4087^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82345973 is a prime.

It is equal to p_4798346 and since 82345973 and 4798346 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82345973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82345073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41172986 + 41172987.

It is an arithmetic number, because the mean of its divisors is an integer number (41172987).

Almost surely, 2^82345973 is an apocalyptic number.

It is an amenable number.

82345973 is a deficient number, since it is larger than the sum of its proper divisors (1).

82345973 is an equidigital number, since it uses as much as digits as its factorization.

82345973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 181440, while the sum is 41.

The square root of 82345973 is about 9074.4681937841. The cubic root of 82345973 is about 435.0582966746.

The spelling of 82345973 in words is "eighty-two million, three hundred forty-five thousand, nine hundred seventy-three".