61583 has 2 divisors, whose sum is σ = 61584. Its totient is φ = 61582.

The previous prime is 61561. The next prime is 61603. The reversal of 61583 is 38516.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 61583 - 2⁶ = 61519 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30791 + 30792.

It is an arithmetic number, because the mean of its divisors is an integer number (30792).

2⁶¹⁵⁸³ is an apocalyptic number.

61583 is a deficient number, since it is larger than the sum of its proper divisors (1).

61583 is an equidigital number, since it uses as much as digits as its factorization.

61583 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 23.

The square root of 61583 is about 248.1592230807. The cubic root of 61583 is about 39.4899830392.

The spelling of 61583 in words is "sixty-one thousand, five hundred eighty-three".