76821137 has 2 divisors, whose sum is σ = 76821138. Its totient is φ = 76821136.

The previous prime is 76821119. The next prime is 76821149. The reversal of 76821137 is 73112867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67634176 + 9186961 = 8224^2 + 3031^2 .

It is a cyclic number.

It is not a de Polignac number, because 76821137 - 2⁸ = 76820881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76821097 and 76821106.

It is not a weakly prime, because it can be changed into another prime (76821197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38410568 + 38410569.

It is an arithmetic number, because the mean of its divisors is an integer number (38410569).

Almost surely, 2^76821137 is an apocalyptic number.

It is an amenable number.

76821137 is a deficient number, since it is larger than the sum of its proper divisors (1).

76821137 is an equidigital number, since it uses as much as digits as its factorization.

76821137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14112, while the sum is 35.

The square root of 76821137 is about 8764.7667966695. The cubic root of 76821137 is about 425.1024196068.

The spelling of 76821137 in words is "seventy-six million, eight hundred twenty-one thousand, one hundred thirty-seven".