90527 has 2 divisors, whose sum is σ = 90528. Its totient is φ = 90526.

The previous prime is 90523. The next prime is 90529. The reversal of 90527 is 72509.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 90527 - 2² = 90523 is a prime.

Together with 90529, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45263 + 45264.

It is an arithmetic number, because the mean of its divisors is an integer number (45264).

2⁹⁰⁵²⁷ is an apocalyptic number.

90527 is a deficient number, since it is larger than the sum of its proper divisors (1).

90527 is an equidigital number, since it uses as much as digits as its factorization.

90527 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 90527 is about 300.8770513017. The cubic root of 90527 is about 44.9013476711.

The spelling of 90527 in words is "ninety thousand, five hundred twenty-seven".