85980953 has 2 divisors, whose sum is σ = 85980954. Its totient is φ = 85980952.

The previous prime is 85980941. The next prime is 85980989. The reversal of 85980953 is 35908958.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58491904 + 27489049 = 7648^2 + 5243^2 .

It is a cyclic number.

It is not a de Polignac number, because 85980953 - 2⁶ = 85980889 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 85980898 and 85980907.

It is not a weakly prime, because it can be changed into another prime (85980913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42990476 + 42990477.

It is an arithmetic number, because the mean of its divisors is an integer number (42990477).

Almost surely, 2^85980953 is an apocalyptic number.

It is an amenable number.

85980953 is a deficient number, since it is larger than the sum of its proper divisors (1).

85980953 is an equidigital number, since it uses as much as digits as its factorization.

85980953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 47.

The square root of 85980953 is about 9272.5914932127. The cubic root of 85980953 is about 441.3679071899.

The spelling of 85980953 in words is "eighty-five million, nine hundred eighty thousand, nine hundred fifty-three".