57461 has 4 divisors (see below), whose sum is σ = 59052. Its totient is φ = 55872.

The previous prime is 57457. The next prime is 57467. The reversal of 57461 is 16475.

57461 = 169² + 170².

57461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 28561 + 28900 = 169^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 57461 - 2² = 57457 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57467) 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, 740 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (14763).

2⁵⁷⁴⁶¹ is an apocalyptic number.

57461 is the 170-th centered square number.

It is an amenable number.

57461 is a deficient number, since it is larger than the sum of its proper divisors (1591).

57461 is a wasteful number, since it uses less digits than its factorization.

57461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590.

The product of its digits is 840, while the sum is 23.

The square root of 57461 is about 239.7102417503. The cubic root of 57461 is about 38.5884848467.

The spelling of 57461 in words is "fifty-seven thousand, four hundred sixty-one".