38133761 has 2 divisors, whose sum is σ = 38133762. Its totient is φ = 38133760.

The previous prime is 38133757. The next prime is 38133763. The reversal of 38133761 is 16733183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38130625 + 3136 = 6175^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 38133761 - 2² = 38133757 is a prime.

It is a Sophie Germain prime.

Together with 38133763, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (38133763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19066880 + 19066881.

It is an arithmetic number, because the mean of its divisors is an integer number (19066881).

It is a Proth number, since it is equal to 4655 ⋅ 2¹³ + 1 and 4655 < 2¹³.

Almost surely, 2^38133761 is an apocalyptic number.

It is an amenable number.

38133761 is a deficient number, since it is larger than the sum of its proper divisors (1).

38133761 is an equidigital number, since it uses as much as digits as its factorization.

38133761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 32.

The square root of 38133761 is about 6175.2539219048. The cubic root of 38133761 is about 336.5915534593.

The spelling of 38133761 in words is "thirty-eight million, one hundred thirty-three thousand, seven hundred sixty-one".