103577 has 2 divisors, whose sum is σ = 103578. Its totient is φ = 103576.

The previous prime is 103573. The next prime is 103583. The reversal of 103577 is 775301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99856 + 3721 = 316^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 103577 - 2² = 103573 is a prime.

It is a super-3 number, since 3×103577³ = 3333582738483099, which contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (103573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51788 + 51789.

It is an arithmetic number, because the mean of its divisors is an integer number (51789).

2¹⁰³⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

103577 is a deficient number, since it is larger than the sum of its proper divisors (1).

103577 is an equidigital number, since it uses as much as digits as its factorization.

103577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 103577 is about 321.8338080438. The cubic root of 103577 is about 46.9628497739.

Adding to 103577 its reverse (775301), we get a palindrome (878878).

The spelling of 103577 in words is "one hundred three thousand, five hundred seventy-seven".