85701441 has 24 divisors (see below), whose sum is σ = 133708320. Its totient is φ = 48683712.

The previous prime is 85701397. The next prime is 85701449. The reversal of 85701441 is 14410758.

It is not a de Polignac number, because 85701441 - 2⁷ = 85701313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85701399 and 85701408.

It is not an unprimeable number, because it can be changed into a prime (85701449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24685 + ... + 27941.

It is an arithmetic number, because the mean of its divisors is an integer number (5571180).

Almost surely, 2^85701441 is an apocalyptic number.

It is an amenable number.

85701441 is a deficient number, since it is larger than the sum of its proper divisors (48006879).

85701441 is a wasteful number, since it uses less digits than its factorization.

85701441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 85701441 is about 9257.5072778799. The cubic root of 85701441 is about 440.8891129619.

It can be divided in two parts, 8570 and 1441, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 85701441 in words is "eighty-five million, seven hundred one thousand, four hundred forty-one".