61638233 has 2 divisors, whose sum is σ = 61638234. Its totient is φ = 61638232.

The previous prime is 61638167. The next prime is 61638257. The reversal of 61638233 is 33283616.

61638233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55547209 + 6091024 = 7453^2 + 2468^2 .

It is a cyclic number.

It is not a de Polignac number, because 61638233 - 2¹⁴ = 61621849 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61638233.

It is not a weakly prime, because it can be changed into another prime (61608233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30819116 + 30819117.

It is an arithmetic number, because the mean of its divisors is an integer number (30819117).

Almost surely, 2^61638233 is an apocalyptic number.

It is an amenable number.

61638233 is a deficient number, since it is larger than the sum of its proper divisors (1).

61638233 is an equidigital number, since it uses as much as digits as its factorization.

61638233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 32.

The square root of 61638233 is about 7851.0020379567. The cubic root of 61638233 is about 395.0178553057.

Subtracting from 61638233 its sum of digits (32), we obtain a square (61638201 = 7851²).

The spelling of 61638233 in words is "sixty-one million, six hundred thirty-eight thousand, two hundred thirty-three".