75577 has 2 divisors, whose sum is σ = 75578. Its totient is φ = 75576.

The previous prime is 75571. The next prime is 75583. The reversal of 75577 is 77557.

It is a balanced prime because it is at equal distance from previous prime (75571) and next prime (75583).

It can be written as a sum of positive squares in only one way, i.e., 55696 + 19881 = 236^2 + 141^2 .

It is an emirp because it is prime and its reverse (77557) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75577 - 2¹¹ = 73529 is a prime.

It is not a weakly prime, because it can be changed into another prime (75571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37788 + 37789.

It is an arithmetic number, because the mean of its divisors is an integer number (37789).

2⁷⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

75577 is a deficient number, since it is larger than the sum of its proper divisors (1).

75577 is an equidigital number, since it uses as much as digits as its factorization.

75577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8575, while the sum is 31.

The square root of 75577 is about 274.9127134201. The cubic root of 75577 is about 42.2795039186.

The spelling of 75577 in words is "seventy-five thousand, five hundred seventy-seven".