90077753 has 2 divisors, whose sum is σ = 90077754. Its totient is φ = 90077752.

The previous prime is 90077731. The next prime is 90077761. The reversal of 90077753 is 35777009.

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., 86341264 + 3736489 = 9292^2 + 1933^2 .

It is an emirp because it is prime and its reverse (35777009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90077753 - 2¹² = 90073657 is a prime.

It is a super-2 number, since 2×90077753² = 16228003171058018, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (90077773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45038876 + 45038877.

It is an arithmetic number, because the mean of its divisors is an integer number (45038877).

Almost surely, 2^90077753 is an apocalyptic number.

It is an amenable number.

90077753 is a deficient number, since it is larger than the sum of its proper divisors (1).

90077753 is an equidigital number, since it uses as much as digits as its factorization.

90077753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46305, while the sum is 38.

The square root of 90077753 is about 9490.9300387264. The cubic root of 90077753 is about 448.2694903479.

The spelling of 90077753 in words is "ninety million, seventy-seven thousand, seven hundred fifty-three".