61723 has 2 divisors, whose sum is σ = 61724. Its totient is φ = 61722.

The previous prime is 61717. The next prime is 61729. The reversal of 61723 is 32716.

61723 is nontrivially palindromic in base 5.

It is a balanced prime because it is at equal distance from previous prime (61717) and next prime (61729).

It is a cyclic number.

It is not a de Polignac number, because 61723 - 2⁹ = 61211 is a prime.

61723 is a lucky number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 61723.

It is not a weakly prime, because it can be changed into another prime (61729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30861 + 30862.

It is an arithmetic number, because the mean of its divisors is an integer number (30862).

2⁶¹⁷²³ is an apocalyptic number.

61723 is a deficient number, since it is larger than the sum of its proper divisors (1).

61723 is an equidigital number, since it uses as much as digits as its factorization.

61723 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 19.

The square root of 61723 is about 248.4411399104. The cubic root of 61723 is about 39.5198853035.

It can be divided in two parts, 61 and 723, that added together give a square (784 = 28²).

The spelling of 61723 in words is "sixty-one thousand, seven hundred twenty-three".