34777993 has 2 divisors, whose sum is σ = 34777994. Its totient is φ = 34777992.

The previous prime is 34777973. The next prime is 34777997. The reversal of 34777993 is 39977743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34433424 + 344569 = 5868^2 + 587^2 .

It is a cyclic number.

It is not a de Polignac number, because 34777993 - 2²⁵ = 1223561 is a prime.

It is not a weakly prime, because it can be changed into another prime (34777997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17388996 + 17388997.

It is an arithmetic number, because the mean of its divisors is an integer number (17388997).

Almost surely, 2^34777993 is an apocalyptic number.

It is an amenable number.

34777993 is a deficient number, since it is larger than the sum of its proper divisors (1).

34777993 is an equidigital number, since it uses as much as digits as its factorization.

34777993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1000188, while the sum is 49.

The square root of 34777993 is about 5897.2869185754. The cubic root of 34777993 is about 326.4135448341.

The spelling of 34777993 in words is "thirty-four million, seven hundred seventy-seven thousand, nine hundred ninety-three".