57121 has 3 divisors (see below), whose sum is σ = 57361. Its totient is φ = 56882.

The previous prime is 57119. The next prime is 57131. The reversal of 57121 is 12175.

Multipling 57121 by its sum of digits (16), we get a square (913936 = 956^{2}).

Adding to 57121 its reverse (12175), we get a palindrome (69296).

57121 = T_{238} + T_{239}.

The square root of 57121 is 239.

It is a perfect power (a square), and thus also a powerful number.

57121 is nontrivially palindromic in base 14.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 57121 - 2^{1} = 57119 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 57095 and 57104.

It is not an unprimeable number, because it can be changed into a prime (57131) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 120 + ... + 358.

2^{57121} is an apocalyptic number.

57121 is the 239-th square number.

57121 is the 120-th centered octagonal number.

It is an amenable number.

57121 is a deficient number, since it is larger than the sum of its proper divisors (240).

57121 is an frugal number, since it uses more digits than its factorization.

57121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its digits is 70, while the sum is 16.

The cubic root of 57121 is about 38.5122241500.

The spelling of 57121 in words is "fifty-seven thousand, one hundred twenty-one".

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