85061727 has 48 divisors (see below), whose sum is σ = 141804000. Its totient is φ = 48771072.

The previous prime is 85061723. The next prime is 85061731. The reversal of 85061727 is 72716058.

It is an interprime number because it is at equal distance from previous prime (85061723) and next prime (85061731).

It is not a de Polignac number, because 85061727 - 2² = 85061723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85061691 and 85061700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85061723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83799 + ... + 84807.

It is an arithmetic number, because the mean of its divisors is an integer number (2954250).

Almost surely, 2^85061727 is an apocalyptic number.

85061727 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

85061727 is a deficient number, since it is larger than the sum of its proper divisors (56742273).

85061727 is a wasteful number, since it uses less digits than its factorization.

85061727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 85061727 is about 9222.8914663461. The cubic root of 85061727 is about 439.7893740527.

The spelling of 85061727 in words is "eighty-five million, sixty-one thousand, seven hundred twenty-seven".