85723657 has 2 divisors, whose sum is σ = 85723658. Its totient is φ = 85723656.

The previous prime is 85723633. The next prime is 85723679. The reversal of 85723657 is 75632758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56010256 + 29713401 = 7484^2 + 5451^2 .

It is a cyclic number.

It is not a de Polignac number, because 85723657 - 2¹⁵ = 85690889 is a prime.

It is not a weakly prime, because it can be changed into another prime (85723697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42861828 + 42861829.

It is an arithmetic number, because the mean of its divisors is an integer number (42861829).

Almost surely, 2^85723657 is an apocalyptic number.

It is an amenable number.

85723657 is a deficient number, since it is larger than the sum of its proper divisors (1).

85723657 is an equidigital number, since it uses as much as digits as its factorization.

85723657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 352800, while the sum is 43.

The square root of 85723657 is about 9258.7070911656. The cubic root of 85723657 is about 440.9272062393.

The spelling of 85723657 in words is "eighty-five million, seven hundred twenty-three thousand, six hundred fifty-seven".