90077 has 8 divisors (see below), whose sum is σ = 99960. Its totient is φ = 81120.

The previous prime is 90073. The next prime is 90089. The reversal of 90077 is 77009.

It can be written as a sum of positive squares in 4 ways, for example, as 52441 + 37636 = 229^2 + 194^2 .

It is not a de Polignac number, because 90077 - 2² = 90073 is a prime.

It is a super-2 number, since 2×90077² = 16227731858, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90071) 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 in 7 ways as a sum of consecutive naturals, for example, 2177 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (12495).

2⁹⁰⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

90077 is a deficient number, since it is larger than the sum of its proper divisors (9883).

90077 is an equidigital number, since it uses as much as digits as its factorization.

90077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 23.

The square root of 90077 is about 300.1283058960. The cubic root of 90077 is about 44.8268241250.

Adding to 90077 its sum of digits (23), we get a triangular number (90100 = T₄₂₄).

The spelling of 90077 in words is "ninety thousand, seventy-seven".