61353 has 12 divisors (see below), whose sum is σ = 94068. Its totient is φ = 38400.

The previous prime is 61343. The next prime is 61357. The reversal of 61353 is 35316.

61353 is a `hidden beast` number, since 613 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56169 + 5184 = 237^2 + 72^2 .

It is not a de Polignac number, because 61353 - 2¹³ = 53161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (7839).

2⁶¹³⁵³ is an apocalyptic number.

It is an amenable number.

61353 is a deficient number, since it is larger than the sum of its proper divisors (32715).

61353 is a wasteful number, since it uses less digits than its factorization.

61353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 421 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 61353 is about 247.6953774296. The cubic root of 61353 is about 39.4407593521.

Adding to 61353 its reverse (35316), we get a palindrome (96669).

It can be divided in two parts, 613 and 53, that added together give a palindrome (666).

The spelling of 61353 in words is "sixty-one thousand, three hundred fifty-three".