85962 has 8 divisors (see below), whose sum is σ = 171936. Its totient is φ = 28652.

The previous prime is 85933. The next prime is 85991. The reversal of 85962 is 26958.

It is an interprime number because it is at equal distance from previous prime (85933) and next prime (85991).

It is a sphenic number, since it is the product of 3 distinct primes.

85962 is an admirable number.

It is a congruent number.

It is an unprimeable number.

85962 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 in 3 ways as a sum of consecutive naturals, for example, 7158 + ... + 7169.

It is an arithmetic number, because the mean of its divisors is an integer number (21492).

2⁸⁵⁹⁶² is an apocalyptic number.

85962 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 (85968).

85962 is a wasteful number, since it uses less digits than its factorization.

85962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14332.

The product of its digits is 4320, while the sum is 30.

The square root of 85962 is about 293.1927693515. The cubic root of 85962 is about 44.1335474190.

The spelling of 85962 in words is "eighty-five thousand, nine hundred sixty-two".