205772023 has 16 divisors (see below), whose sum is σ = 219633120. Its totient is φ = 192459904.

The previous prime is 205772009. The next prime is 205772027. The reversal of 205772023 is 320277502.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205772023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205771982 and 205772000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205772027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126765 + ... + 128377.

It is an arithmetic number, because the mean of its divisors is an integer number (13727070).

Almost surely, 2^205772023 is an apocalyptic number.

205772023 is a deficient number, since it is larger than the sum of its proper divisors (13861097).

205772023 is a wasteful number, since it uses less digits than its factorization.

205772023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778.

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 205772023 is about 14344.7559407611. The cubic root of 205772023 is about 590.3761108529.

The spelling of 205772023 in words is "two hundred five million, seven hundred seventy-two thousand, twenty-three".