345901729 has 2 divisors, whose sum is σ = 345901730. Its totient is φ = 345901728.

The previous prime is 345901693. The next prime is 345901819. The reversal of 345901729 is 927109543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207792225 + 138109504 = 14415^2 + 11752^2 .

It is an emirp because it is prime and its reverse (927109543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 345901729 - 2²⁷ = 211684001 is a prime.

It is a super-3 number, since 3×345901729³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 345901691 and 345901700.

It is not a weakly prime, because it can be changed into another prime (345901429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172950864 + 172950865.

It is an arithmetic number, because the mean of its divisors is an integer number (172950865).

Almost surely, 2^345901729 is an apocalyptic number.

It is an amenable number.

345901729 is a deficient number, since it is larger than the sum of its proper divisors (1).

345901729 is an equidigital number, since it uses as much as digits as its factorization.

345901729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 345901729 is about 18598.4335093039. The cubic root of 345901729 is about 701.9684248372.

The spelling of 345901729 in words is "three hundred forty-five million, nine hundred one thousand, seven hundred twenty-nine".