61657 has 2 divisors, whose sum is σ = 61658. Its totient is φ = 61656.

The previous prime is 61651. The next prime is 61667. The reversal of 61657 is 75616.

61657 is nontrivially palindromic in base 14.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52441 + 9216 = 229^2 + 96^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61657 is a prime.

It is not a weakly prime, because it can be changed into another prime (61651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30828 + 30829.

It is an arithmetic number, because the mean of its divisors is an integer number (30829).

2⁶¹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

61657 is a deficient number, since it is larger than the sum of its proper divisors (1).

61657 is an equidigital number, since it uses as much as digits as its factorization.

61657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 25.

The square root of 61657 is about 248.3082761408. The cubic root of 61657 is about 39.5057941615.

The spelling of 61657 in words is "sixty-one thousand, six hundred fifty-seven".