76338137 has 2 divisors, whose sum is σ = 76338138. Its totient is φ = 76338136.

The previous prime is 76338113. The next prime is 76338139. The reversal of 76338137 is 73183367.

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., 70291456 + 6046681 = 8384^2 + 2459^2 .

It is a cyclic number.

It is not a de Polignac number, because 76338137 - 2¹⁴ = 76321753 is a prime.

It is a super-2 number, since 2×76338137² = 11655022321261538, which contains 22 as substring.

Together with 76338139, it forms a pair of twin primes.

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 76338137.

It is not a weakly prime, because it can be changed into another prime (76338139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38169068 + 38169069.

It is an arithmetic number, because the mean of its divisors is an integer number (38169069).

Almost surely, 2^76338137 is an apocalyptic number.

It is an amenable number.

76338137 is a deficient number, since it is larger than the sum of its proper divisors (1).

76338137 is an equidigital number, since it uses as much as digits as its factorization.

76338137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 63504, while the sum is 38.

The square root of 76338137 is about 8737.1698507011. The cubic root of 76338137 is about 424.2096258590.

The spelling of 76338137 in words is "seventy-six million, three hundred thirty-eight thousand, one hundred thirty-seven".