345977101 has 2 divisors, whose sum is σ = 345977102. Its totient is φ = 345977100.

The previous prime is 345977077. The next prime is 345977123. The reversal of 345977101 is 101779543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 280529001 + 65448100 = 16749^2 + 8090^2 .

It is a cyclic number.

It is not a de Polignac number, because 345977101 - 2¹¹ = 345975053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (345977131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172988550 + 172988551.

It is an arithmetic number, because the mean of its divisors is an integer number (172988551).

Almost surely, 2^345977101 is an apocalyptic number.

It is an amenable number.

345977101 is a deficient number, since it is larger than the sum of its proper divisors (1).

345977101 is an equidigital number, since it uses as much as digits as its factorization.

345977101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 345977101 is about 18600.4596986204. The cubic root of 345977101 is about 702.0194074499.

The spelling of 345977101 in words is "three hundred forty-five million, nine hundred seventy-seven thousand, one hundred one".