345937 has 2 divisors, whose sum is σ = 345938. Its totient is φ = 345936.

The previous prime is 345923. The next prime is 345953. The reversal of 345937 is 739543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 14161 = 576^2 + 119^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-345937 is a prime.

345937 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 345899 and 345908.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345937.

It is not a weakly prime, because it can be changed into another prime (345907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172968 + 172969.

It is an arithmetic number, because the mean of its divisors is an integer number (172969).

2³⁴⁵⁹³⁷ is an apocalyptic number.

It is an amenable number.

345937 is a deficient number, since it is larger than the sum of its proper divisors (1).

345937 is an equidigital number, since it uses as much as digits as its factorization.

345937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11340, while the sum is 31.

The square root of 345937 is about 588.1640927496. The cubic root of 345937 is about 70.1992283528.

The spelling of 345937 in words is "three hundred forty-five thousand, nine hundred thirty-seven".