85477457 has 8 divisors (see below), whose sum is σ = 92142120. Its totient is φ = 78825600.

The previous prime is 85477433. The next prime is 85477481. The reversal of 85477457 is 75477458.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85477433) and next prime (85477481).

It can be written as a sum of positive squares in 4 ways, for example, as 25921 + 85451536 = 161^2 + 9244^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85477457 - 2¹² = 85473361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85477487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14207 + ... + 19307.

It is an arithmetic number, because the mean of its divisors is an integer number (11517765).

Almost surely, 2^85477457 is an apocalyptic number.

It is an amenable number.

85477457 is a deficient number, since it is larger than the sum of its proper divisors (6664663).

85477457 is a wasteful number, since it uses less digits than its factorization.

85477457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403.

The product of its digits is 1097600, while the sum is 47.

The square root of 85477457 is about 9245.4019382610. The cubic root of 85477457 is about 440.5046843305.

Subtracting from 85477457 its reverse (75477458), we obtain a palindrome (9999999).

The spelling of 85477457 in words is "eighty-five million, four hundred seventy-seven thousand, four hundred fifty-seven".