77631041 has 2 divisors, whose sum is σ = 77631042. Its totient is φ = 77631040.

The previous prime is 77631031. The next prime is 77631053. The reversal of 77631041 is 14013677.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72318016 + 5313025 = 8504^2 + 2305^2 .

It is a cyclic number.

It is not a de Polignac number, because 77631041 - 2⁶ = 77630977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_4539233 and since 77631041 and 4539233 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 77630995 and 77631013.

It is not a weakly prime, because it can be changed into another prime (77631031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38815520 + 38815521.

It is an arithmetic number, because the mean of its divisors is an integer number (38815521).

Almost surely, 2^77631041 is an apocalyptic number.

It is an amenable number.

77631041 is a deficient number, since it is larger than the sum of its proper divisors (1).

77631041 is an equidigital number, since it uses as much as digits as its factorization.

77631041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 77631041 is about 8810.8479160635. The cubic root of 77631041 is about 426.5911125847.

The spelling of 77631041 in words is "seventy-seven million, six hundred thirty-one thousand, forty-one".