85966957 has 2 divisors, whose sum is σ = 85966958. Its totient is φ = 85966956.

The previous prime is 85966949. The next prime is 85966961. The reversal of 85966957 is 75966958.

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., 57547396 + 28419561 = 7586^2 + 5331^2 .

It is a cyclic number.

It is not a de Polignac number, because 85966957 - 2³ = 85966949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85966898 and 85966907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85966927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42983478 + 42983479.

It is an arithmetic number, because the mean of its divisors is an integer number (42983479).

Almost surely, 2^85966957 is an apocalyptic number.

It is an amenable number.

85966957 is a deficient number, since it is larger than the sum of its proper divisors (1).

85966957 is an equidigital number, since it uses as much as digits as its factorization.

85966957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4082400, while the sum is 55.

The square root of 85966957 is about 9271.8367651723. The cubic root of 85966957 is about 441.3439572327.

Subtracting from 85966957 its reverse (75966958), we obtain a palindrome (9999999).

The spelling of 85966957 in words is "eighty-five million, nine hundred sixty-six thousand, nine hundred fifty-seven".