59121 has 6 divisors (see below), whose sum is σ = 85410. Its totient is φ = 39408.

The previous prime is 59119. The next prime is 59123. The reversal of 59121 is 12195.

59121 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (59119) and next prime (59123).

It can be written as a sum of positive squares in only one way, i.e., 57600 + 1521 = 240^2 + 39^2 .

It is not a de Polignac number, because 59121 - 2¹ = 59119 is a prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 59094 and 59103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59121.

It is not an unprimeable number, because it can be changed into a prime (59123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3276 + ... + 3293.

It is an arithmetic number, because the mean of its divisors is an integer number (14235).

2⁵⁹¹²¹ is an apocalyptic number.

It is an amenable number.

59121 is a deficient number, since it is larger than the sum of its proper divisors (26289).

59121 is a wasteful number, since it uses less digits than its factorization.

59121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6575 (or 6572 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 59121 is about 243.1481030154. The cubic root of 59121 is about 38.9565591256.

The spelling of 59121 in words is "fifty-nine thousand, one hundred twenty-one".