90577 has 4 divisors (see below), whose sum is σ = 92340. Its totient is φ = 88816.

The previous prime is 90547. The next prime is 90583. The reversal of 90577 is 77509.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 50176 = 201^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 90577 - 2¹⁵ = 57809 is a prime.

It is a super-3 number, since 3×90577³ = 2229333548790099, which contains 333 as substring.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 802 + ... + 907.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2⁹⁰⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

90577 is a deficient number, since it is larger than the sum of its proper divisors (1763).

90577 is a wasteful number, since it uses less digits than its factorization.

90577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 90577 is about 300.9601302498. The cubic root of 90577 is about 44.9096128081.

The spelling of 90577 in words is "ninety thousand, five hundred seventy-seven".