85292 has 6 divisors (see below), whose sum is σ = 149268. Its totient is φ = 42644.

The previous prime is 85259. The next prime is 85297. The reversal of 85292 is 29258.

It is an Ulam number.

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

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (85297) by changing a digit.

85292 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10658 + ... + 10665.

It is an arithmetic number, because the mean of its divisors is an integer number (24878).

2⁸⁵²⁹² is an apocalyptic number.

It is an amenable number.

85292 is a deficient number, since it is larger than the sum of its proper divisors (63976).

85292 is a wasteful number, since it uses less digits than its factorization.

85292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21327 (or 21325 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 85292 is about 292.0479412699. The cubic root of 85292 is about 44.0185871883.

The spelling of 85292 in words is "eighty-five thousand, two hundred ninety-two".