345601 has 2 divisors, whose sum is σ = 345602. Its totient is φ = 345600.

The previous prime is 345599. The next prime is 345607. The reversal of 345601 is 106543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226576 + 119025 = 476^2 + 345^2 .

It is an emirp because it is prime and its reverse (106543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 345601 - 2¹ = 345599 is a prime.

Together with 345599, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3 + 4⁸ + 6⁷ + 5³ + 0 + 1 .

It is not a weakly prime, because it can be changed into another prime (345607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172800 + 172801.

It is an arithmetic number, because the mean of its divisors is an integer number (172801).

2³⁴⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

345601 is a deficient number, since it is larger than the sum of its proper divisors (1).

345601 is an equidigital number, since it uses as much as digits as its factorization.

345601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 345601 is about 587.8783887846. The cubic root of 345601 is about 70.1764934026.

It can be divided in two parts, 345 and 601, that added together give a triangular number (946 = T₄₃).

The spelling of 345601 in words is "three hundred forty-five thousand, six hundred one".