77530961 has 2 divisors, whose sum is σ = 77530962. Its totient is φ = 77530960.

The previous prime is 77530889. The next prime is 77531009. The reversal of 77530961 is 16903577.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71503936 + 6027025 = 8456^2 + 2455^2 .

It is an emirp because it is prime and its reverse (16903577) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77530961 - 2¹⁸ = 77268817 is a prime.

It is a super-2 number, since 2×77530961² = 12022099827167042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77530561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38765480 + 38765481.

It is an arithmetic number, because the mean of its divisors is an integer number (38765481).

Almost surely, 2^77530961 is an apocalyptic number.

It is an amenable number.

77530961 is a deficient number, since it is larger than the sum of its proper divisors (1).

77530961 is an equidigital number, since it uses as much as digits as its factorization.

77530961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39690, while the sum is 38.

The square root of 77530961 is about 8805.1667218742. The cubic root of 77530961 is about 426.4077168815.

The spelling of 77530961 in words is "seventy-seven million, five hundred thirty thousand, nine hundred sixty-one".