340577 has 2 divisors, whose sum is σ = 340578. Its totient is φ = 340576.

The previous prime is 340573. The next prime is 340579. The reversal of 340577 is 775043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179776 + 160801 = 424^2 + 401^2 .

It is an emirp because it is prime and its reverse (775043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 340577 - 2² = 340573 is a prime.

It is a super-3 number, since 3×340577³ = 118513330139040099, which contains 333 as substring.

Together with 340579, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 340577.

It is not a weakly prime, because it can be changed into another prime (340573) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 170288 + 170289.

It is an arithmetic number, because the mean of its divisors is an integer number (170289).

2³⁴⁰⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

340577 is a deficient number, since it is larger than the sum of its proper divisors (1).

340577 is an equidigital number, since it uses as much as digits as its factorization.

340577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 340577 is about 583.5897531657. The cubic root of 340577 is about 69.8347804104.

The spelling of 340577 in words is "three hundred forty thousand, five hundred seventy-seven".