85971797 has 2 divisors, whose sum is σ = 85971798. Its totient is φ = 85971796.

The previous prime is 85971727. The next prime is 85971799. The reversal of 85971797 is 79717958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59613841 + 26357956 = 7721^2 + 5134^2 .

It is a cyclic number.

It is not a de Polignac number, because 85971797 - 2¹⁴ = 85955413 is a prime.

It is a super-2 number, since 2×85971797² = 14782299758818418, which contains 22 as substring.

Together with 85971799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85971799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42985898 + 42985899.

It is an arithmetic number, because the mean of its divisors is an integer number (42985899).

Almost surely, 2^85971797 is an apocalyptic number.

It is an amenable number.

85971797 is a deficient number, since it is larger than the sum of its proper divisors (1).

85971797 is an equidigital number, since it uses as much as digits as its factorization.

85971797 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1111320, while the sum is 53.

The square root of 85971797 is about 9272.0977669565. The cubic root of 85971797 is about 441.3522397354.

It can be divided in two parts, 85971 and 797, that added together give a palindrome (86768).

The spelling of 85971797 in words is "eighty-five million, nine hundred seventy-one thousand, seven hundred ninety-seven".