80953 has 2 divisors, whose sum is σ = 80954. Its totient is φ = 80952.

The previous prime is 80933. The next prime is 80963. The reversal of 80953 is 35908.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59049 + 21904 = 243^2 + 148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-80953 is a prime.

It is not a weakly prime, because it can be changed into another prime (80923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40476 + 40477.

It is an arithmetic number, because the mean of its divisors is an integer number (40477).

2⁸⁰⁹⁵³ is an apocalyptic number.

It is an amenable number.

80953 is a deficient number, since it is larger than the sum of its proper divisors (1).

80953 is an equidigital number, since it uses as much as digits as its factorization.

80953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 80953 is about 284.5224068505. The cubic root of 80953 is about 43.2591168815.

The spelling of 80953 in words is "eighty thousand, nine hundred fifty-three".