292561 has 2 divisors, whose sum is σ = 292562. Its totient is φ = 292560.

The previous prime is 292549. The next prime is 292573. The reversal of 292561 is 165292.

It is a balanced prime because it is at equal distance from previous prime (292549) and next prime (292573).

It can be written as a sum of positive squares in only one way, i.e., 291600 + 961 = 540^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 292561 - 2¹³ = 284369 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (292531) by changing a digit.

It is a nontrivial repunit in base 23.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146280 + 146281.

It is an arithmetic number, because the mean of its divisors is an integer number (146281).

2²⁹²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

292561 is a deficient number, since it is larger than the sum of its proper divisors (1).

292561 is an equidigital number, since it uses as much as digits as its factorization.

292561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 25.

The square root of 292561 is about 540.8890828996. The cubic root of 292561 is about 66.3853338925.

The spelling of 292561 in words is "two hundred ninety-two thousand, five hundred sixty-one".