76585 has 12 divisors (see below), whose sum is σ = 99468. Its totient is φ = 56576.

The previous prime is 76579. The next prime is 76597. The reversal of 76585 is 58567.

It can be written as a sum of positive squares in 6 ways, for example, as 8464 + 68121 = 92^2 + 261^2 .

It is a de Polignac number, because none of the positive numbers 2^k-76585 is a prime.

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

It is a Duffinian number.

Its product of digits (8400) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1419 + ... + 1471.

It is an arithmetic number, because the mean of its divisors is an integer number (8289).

2⁷⁶⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

76585 is a deficient number, since it is larger than the sum of its proper divisors (22883).

76585 is a wasteful number, since it uses less digits than its factorization.

76585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 76585 is about 276.7399501337. The cubic root of 76585 is about 42.4666404886.

It can be divided in two parts, 765 and 85, that multiplied together give a square (65025 = 255²).

The spelling of 76585 in words is "seventy-six thousand, five hundred eighty-five".