354606561 has 9 divisors (see below), whose sum is σ = 512291091. Its totient is φ = 236366712.

The previous prime is 354606547. The next prime is 354606563. The reversal of 354606561 is 165606453.

The square root of 354606561 is 18831.

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

354606561 is a `hidden beast` number, since 35 + 4 + 60 + 6 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 346518225 + 8088336 = 18615^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 354606561 - 2⁵ = 354606529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (354606563) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53355 + ... + 59631.

Almost surely, 2^354606561 is an apocalyptic number.

354606561 is the 18831-st square number.

354606561 is the 9416-th centered octagonal number.

It is an amenable number.

354606561 is a deficient number, since it is larger than the sum of its proper divisors (157684530).

354606561 is an frugal number, since it uses more digits than its factorization.

354606561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12560 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The cubic root of 354606561 is about 707.8081987868.

Multiplying 354606561 by its sum of digits (36), we get a square (12765836196 = 112986²).

The spelling of 354606561 in words is "three hundred fifty-four million, six hundred six thousand, five hundred sixty-one".