34133761 has 2 divisors, whose sum is σ = 34133762. Its totient is φ = 34133760.

The previous prime is 34133731. The next prime is 34133777. The reversal of 34133761 is 16733143.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21566736 + 12567025 = 4644^2 + 3545^2 .

It is a cyclic number.

It is not a de Polignac number, because 34133761 - 2⁹ = 34133249 is a prime.

It is a super-2 number, since 2×34133761² = 2330227280010242, which contains 22 as substring.

It is equal to p_2097028 and since 34133761 and 2097028 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (34133731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17066880 + 17066881.

It is an arithmetic number, because the mean of its divisors is an integer number (17066881).

Almost surely, 2^34133761 is an apocalyptic number.

It is an amenable number.

34133761 is a deficient number, since it is larger than the sum of its proper divisors (1).

34133761 is an equidigital number, since it uses as much as digits as its factorization.

34133761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 28.

The square root of 34133761 is about 5842.4105470259. The cubic root of 34133761 is about 324.3854611932.

The spelling of 34133761 in words is "thirty-four million, one hundred thirty-three thousand, seven hundred sixty-one".