85492 has 24 divisors (see below), whose sum is σ = 171360. Its totient is φ = 36960.

The previous prime is 85487. The next prime is 85513. The reversal of 85492 is 29458.

It can be divided in two parts, 854 and 92, that added together give a triangular number (946 = T_{43}).

85492 = 34^{2} + 35^{2} + ... + 66^{2}.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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

It is a pancake number, because a pancake can be divided into 85492 parts by 413 straight cuts.

It is a self number, because there is not a number *n* which added to its sum of digits gives 85492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1243 + ... + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2^{85492} is an apocalyptic number.

It is an amenable number.

85492 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

85492 is a wasteful number, since it uses less digits than its factorization.

85492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 85492 is about 292.3901503129. The cubic root of 85492 is about 44.0529665172.

The spelling of 85492 in words is "eighty-five thousand, four hundred ninety-two".

Divisors: 1 2 4 11 22 29 44 58 67 116 134 268 319 638 737 1276 1474 1943 2948 3886 7772 21373 42746 85492

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