362206561 has 2 divisors, whose sum is σ = 362206562. Its totient is φ = 362206560.

The previous prime is 362206531. The next prime is 362206577. The reversal of 362206561 is 165602263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334707025 + 27499536 = 18295^2 + 5244^2 .

It is a cyclic number.

It is not a de Polignac number, because 362206561 - 2¹⁹ = 361682273 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (362206531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181103280 + 181103281.

It is an arithmetic number, because the mean of its divisors is an integer number (181103281).

Almost surely, 2^362206561 is an apocalyptic number.

It is an amenable number.

362206561 is a deficient number, since it is larger than the sum of its proper divisors (1).

362206561 is an equidigital number, since it uses as much as digits as its factorization.

362206561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 362206561 is about 19031.7251188640. The cubic root of 362206561 is about 712.8291277608.

The spelling of 362206561 in words is "three hundred sixty-two million, two hundred six thousand, five hundred sixty-one".