85961 has 4 divisors (see below), whose sum is σ = 87312. Its totient is φ = 84612.

The previous prime is 85933. The next prime is 85991. The reversal of 85961 is 16958.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85931) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 575 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (21828).

2⁸⁵⁹⁶¹ is an apocalyptic number.

It is an amenable number.

85961 is a deficient number, since it is larger than the sum of its proper divisors (1351).

85961 is a wasteful number, since it uses less digits than its factorization.

85961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350.

The product of its digits is 2160, while the sum is 29.

The square root of 85961 is about 293.1910639839. The cubic root of 85961 is about 44.1333762825.

The spelling of 85961 in words is "eighty-five thousand, nine hundred sixty-one".