90727 has 8 divisors (see below), whose sum is σ = 111776. Its totient is φ = 71712.

The previous prime is 90709. The next prime is 90731. The reversal of 90727 is 72709.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90727 - 2⁷ = 90599 is a prime.

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

90727 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90727.

It is not an unprimeable number, because it can be changed into a prime (90787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 589.

It is an arithmetic number, because the mean of its divisors is an integer number (13972).

2⁹⁰⁷²⁷ is an apocalyptic number.

90727 is a deficient number, since it is larger than the sum of its proper divisors (21049).

90727 is a wasteful number, since it uses less digits than its factorization.

90727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017.

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 90727 is about 301.2092296063. The cubic root of 90727 is about 44.9343899838.

It can be divided in two parts, 9072 and 7, that multiplied together give a square (63504 = 252²).

The spelling of 90727 in words is "ninety thousand, seven hundred twenty-seven".