90577777 has 2 divisors, whose sum is σ = 90577778. Its totient is φ = 90577776.

The previous prime is 90577763. The next prime is 90577843. The reversal of 90577777 is 77777509.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70543201 + 20034576 = 8399^2 + 4476^2 .

It is an emirp because it is prime and its reverse (77777509) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90577777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90577777.

It is not a weakly prime, because it can be changed into another prime (90577177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45288888 + 45288889.

It is an arithmetic number, because the mean of its divisors is an integer number (45288889).

Almost surely, 2^90577777 is an apocalyptic number.

It is an amenable number.

90577777 is a deficient number, since it is larger than the sum of its proper divisors (1).

90577777 is an equidigital number, since it uses as much as digits as its factorization.

90577777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756315, while the sum is 49.

The square root of 90577777 is about 9517.2357856680. The cubic root of 90577777 is about 449.0974122437.

The spelling of 90577777 in words is "ninety million, five hundred seventy-seven thousand, seven hundred seventy-seven".