85121 has 2 divisors, whose sum is σ = 85122. Its totient is φ = 85120.

The previous prime is 85109. The next prime is 85133. The reversal of 85121 is 12158.

It is a balanced prime because it is at equal distance from previous prime (85109) and next prime (85133).

It can be written as a sum of positive squares in only one way, i.e., 83521 + 1600 = 289^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 85121 - 2¹⁴ = 68737 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85121.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85121.

It is not a weakly prime, because it can be changed into another prime (85021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42560 + 42561.

It is an arithmetic number, because the mean of its divisors is an integer number (42561).

2⁸⁵¹²¹ is an apocalyptic number.

It is an amenable number.

85121 is a deficient number, since it is larger than the sum of its proper divisors (1).

85121 is an equidigital number, since it uses as much as digits as its factorization.

85121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 80, while the sum is 17.

The square root of 85121 is about 291.7550342325. The cubic root of 85121 is about 43.9891502174.

Adding to 85121 its reverse (12158), we get a palindrome (97279).

It can be divided in two parts, 851 and 21, that multiplied together give a palindrome (17871).

The spelling of 85121 in words is "eighty-five thousand, one hundred twenty-one".