90540577 has 4 divisors (see below), whose sum is σ = 90612756. Its totient is φ = 90468400.

The previous prime is 90540547. The next prime is 90540607. The reversal of 90540577 is 77504509.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 77504509 = 857 ⋅90437.

It is an interprime number because it is at equal distance from previous prime (90540547) and next prime (90540607).

It can be written as a sum of positive squares in 2 ways, for example, as 76108176 + 14432401 = 8724^2 + 3799^2 .

It is a cyclic number.

It is not a de Polignac number, because 90540577 - 2⁷ = 90540449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90540547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34174 + ... + 36727.

It is an arithmetic number, because the mean of its divisors is an integer number (22653189).

Almost surely, 2^90540577 is an apocalyptic number.

It is an amenable number.

90540577 is a deficient number, since it is larger than the sum of its proper divisors (72179).

90540577 is a wasteful number, since it uses less digits than its factorization.

90540577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72178.

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 90540577 is about 9515.2812359909. The cubic root of 90540577 is about 449.0359228736.

The spelling of 90540577 in words is "ninety million, five hundred forty thousand, five hundred seventy-seven".