85566953 has 2 divisors, whose sum is σ = 85566954. Its totient is φ = 85566952.

The previous prime is 85566917. The next prime is 85566979. The reversal of 85566953 is 35966558.

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., 84787264 + 779689 = 9208^2 + 883^2 .

It is a cyclic number.

It is not a de Polignac number, because 85566953 - 2⁶ = 85566889 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 85566898 and 85566907.

It is not a weakly prime, because it can be changed into another prime (85566983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42783476 + 42783477.

It is an arithmetic number, because the mean of its divisors is an integer number (42783477).

Almost surely, 2^85566953 is an apocalyptic number.

It is an amenable number.

85566953 is a deficient number, since it is larger than the sum of its proper divisors (1).

85566953 is an equidigital number, since it uses as much as digits as its factorization.

85566953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972000, while the sum is 47.

The square root of 85566953 is about 9250.2406995710. The cubic root of 85566953 is about 440.6583687353.

The spelling of 85566953 in words is "eighty-five million, five hundred sixty-six thousand, nine hundred fifty-three".