345253561 has 9 divisors (see below), whose sum is σ = 367093101. Its totient is φ = 324647232.

The previous prime is 345253553. The next prime is 345253627. The reversal of 345253561 is 165352543.

The square root of 345253561 is 18581.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 231617961 + 113635600 = 15219^2 + 10660^2 .

It is not a de Polignac number, because 345253561 - 2³ = 345253553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345253511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 315331 + ... + 316423.

Almost surely, 2^345253561 is an apocalyptic number.

345253561 is the 18581-st square number.

345253561 is the 9291-st centered octagonal number.

It is an amenable number.

345253561 is a deficient number, since it is larger than the sum of its proper divisors (21839540).

345253561 is an frugal number, since it uses more digits than its factorization.

345253561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 1110 counting only the distinct ones).

The product of its digits is 54000, while the sum is 34.

The cubic root of 345253561 is about 701.5296894734.

The spelling of 345253561 in words is "three hundred forty-five million, two hundred fifty-three thousand, five hundred sixty-one".