85757461 has 2 divisors, whose sum is σ = 85757462. Its totient is φ = 85757460.

The previous prime is 85757443. The next prime is 85757471. The reversal of 85757461 is 16475758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82628100 + 3129361 = 9090^2 + 1769^2 .

It is a cyclic number.

It is not a de Polignac number, because 85757461 - 2⁵ = 85757429 is a prime.

It is equal to p_4985188 and since 85757461 and 4985188 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85757411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42878730 + 42878731.

It is an arithmetic number, because the mean of its divisors is an integer number (42878731).

Almost surely, 2^85757461 is an apocalyptic number.

It is an amenable number.

85757461 is a deficient number, since it is larger than the sum of its proper divisors (1).

85757461 is an equidigital number, since it uses as much as digits as its factorization.

85757461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 235200, while the sum is 43.

The square root of 85757461 is about 9260.5324360967. The cubic root of 85757461 is about 440.9851565766.

The spelling of 85757461 in words is "eighty-five million, seven hundred fifty-seven thousand, four hundred sixty-one".