85892 has 12 divisors (see below), whose sum is σ = 152460. Its totient is φ = 42336.

The previous prime is 85889. The next prime is 85903. The reversal of 85892 is 29858.

85892 is nontrivially palindromic in base 14.

85892 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 75076 + 10816 = 274^2 + 104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 338 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (12705).

2⁸⁵⁸⁹² is an apocalyptic number.

It is an amenable number.

85892 is a deficient number, since it is larger than the sum of its proper divisors (66568).

85892 is a wasteful number, since it uses less digits than its factorization.

85892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 308 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 85892 is about 293.0733696534. The cubic root of 85892 is about 44.1215646543.

The spelling of 85892 in words is "eighty-five thousand, eight hundred ninety-two".