61757 has 2 divisors, whose sum is σ = 61758. Its totient is φ = 61756.

The previous prime is 61751. The next prime is 61781. The reversal of 61757 is 75716.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 19321 = 206^2 + 139^2 .

It is a cyclic number.

It is not a de Polignac number, because 61757 - 2¹⁰ = 60733 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30878 + 30879.

It is an arithmetic number, because the mean of its divisors is an integer number (30879).

2⁶¹⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

61757 is a deficient number, since it is larger than the sum of its proper divisors (1).

61757 is an equidigital number, since it uses as much as digits as its factorization.

61757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1470, while the sum is 26.

The square root of 61757 is about 248.5095571603. The cubic root of 61757 is about 39.5271404566.

It can be divided in two parts, 61 and 757, that added together give a palindrome (818).

The spelling of 61757 in words is "sixty-one thousand, seven hundred fifty-seven".