61753 has 4 divisors (see below), whose sum is σ = 63460. Its totient is φ = 60048.

The previous prime is 61751. The next prime is 61757. The reversal of 61753 is 35716.

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 45369 + 16384 = 213^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 61753 - 2¹ = 61751 is a prime.

It is the 249-th Hogben number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (61751) by changing a digit.

It is a nontrivial repunit in base 248.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 798 + ... + 871.

It is an arithmetic number, because the mean of its divisors is an integer number (15865).

2⁶¹⁷⁵³ is an apocalyptic number.

It is an amenable number.

61753 is a deficient number, since it is larger than the sum of its proper divisors (1707).

61753 is a wasteful number, since it uses less digits than its factorization.

61753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706.

The product of its digits is 630, while the sum is 22.

The square root of 61753 is about 248.5015090497. The cubic root of 61753 is about 39.5262870474.

The spelling of 61753 in words is "sixty-one thousand, seven hundred fifty-three".