85034 has 16 divisors (see below), whose sum is σ = 140616. Its totient is φ = 38400.

The previous prime is 85027. The next prime is 85037. The reversal of 85034 is 43058.

85034 = T₁₂ + T₁₃ + ... + T₇₉.

It can be written as a sum of positive squares in 4 ways, for example, as 38809 + 46225 = 197^2 + 215^2 .

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 84997 and 85015.

It is not an unprimeable number, because it can be changed into a prime (85037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1364 + ... + 1424.

2⁸⁵⁰³⁴ is an apocalyptic number.

85034 is a deficient number, since it is larger than the sum of its proper divisors (55582).

85034 is a wasteful number, since it uses less digits than its factorization.

85034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 85034 is about 291.6058984314. The cubic root of 85034 is about 43.9741583797.

It can be divided in two parts, 850 and 34, that multiplied together give a square (28900 = 170²).

The spelling of 85034 in words is "eighty-five thousand, thirty-four".