362561 has 2 divisors, whose sum is σ = 362562. Its totient is φ = 362560.

The previous prime is 362521. The next prime is 362569. The reversal of 362561 is 165263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 297025 + 65536 = 545^2 + 256^2 .

It is a cyclic number.

It is not a de Polignac number, because 362561 - 2¹⁸ = 100417 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362561.

It is not a weakly prime, because it can be changed into another prime (362569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181280 + 181281.

It is an arithmetic number, because the mean of its divisors is an integer number (181281).

2³⁶²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

362561 is a deficient number, since it is larger than the sum of its proper divisors (1).

362561 is an equidigital number, since it uses as much as digits as its factorization.

362561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 23.

The square root of 362561 is about 602.1303845514. The cubic root of 362561 is about 71.3061566101.

The spelling of 362561 in words is "three hundred sixty-two thousand, five hundred sixty-one".