85832 has 8 divisors (see below), whose sum is σ = 160950. Its totient is φ = 42912.

The previous prime is 85831. The next prime is 85837. The reversal of 85832 is 23858.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 21316 = 254^2 + 146^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (85831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5357 + ... + 5372.

2⁸⁵⁸³² is an apocalyptic number.

It is an amenable number.

85832 is a deficient number, since it is larger than the sum of its proper divisors (75118).

85832 is a wasteful number, since it uses less digits than its factorization.

85832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10735 (or 10731 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 85832 is about 292.9709883248. The cubic root of 85832 is about 44.1112885302. Note that the first 3 decimals are identical.

Adding to 85832 its sum of digits (26), we get a palindrome (85858).

It can be divided in two parts, 8 and 5832, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 85832 in words is "eighty-five thousand, eight hundred thirty-two".