85759349 has 16 divisors (see below), whose sum is σ = 95359488. Its totient is φ = 76626432.

The previous prime is 85759337. The next prime is 85759367. The reversal of 85759349 is 94395758.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85759349 is a prime.

It is a super-4 number, since 4×85759349⁴ (a number of 33 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85759297 and 85759306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85759379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58544 + ... + 59990.

It is an arithmetic number, because the mean of its divisors is an integer number (5959968).

Almost surely, 2^85759349 is an apocalyptic number.

It is an amenable number.

85759349 is a deficient number, since it is larger than the sum of its proper divisors (9600139).

85759349 is a wasteful number, since it uses less digits than its factorization.

85759349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604.

The product of its digits is 1360800, while the sum is 50.

The square root of 85759349 is about 9260.6343735189. The cubic root of 85759349 is about 440.9883927337.

It can be divided in two parts, 857 and 59349, that added together give a palindrome (60206).

The spelling of 85759349 in words is "eighty-five million, seven hundred fifty-nine thousand, three hundred forty-nine".