85937953 has 2 divisors, whose sum is σ = 85937954. Its totient is φ = 85937952.

The previous prime is 85937911. The next prime is 85937977. The reversal of 85937953 is 35973958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55830784 + 30107169 = 7472^2 + 5487^2 .

It is a cyclic number.

It is not a de Polignac number, because 85937953 - 2¹⁷ = 85806881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85937897 and 85937906.

It is not a weakly prime, because it can be changed into another prime (85937993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42968976 + 42968977.

It is an arithmetic number, because the mean of its divisors is an integer number (42968977).

Almost surely, 2^85937953 is an apocalyptic number.

It is an amenable number.

85937953 is a deficient number, since it is larger than the sum of its proper divisors (1).

85937953 is an equidigital number, since it uses as much as digits as its factorization.

85937953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1020600, while the sum is 49.

The square root of 85937953 is about 9270.2725418404. The cubic root of 85937953 is about 441.2943173073.

The spelling of 85937953 in words is "eighty-five million, nine hundred thirty-seven thousand, nine hundred fifty-three".