90763729 has 9 divisors (see below), whose sum is σ = 105659931. Its totient is φ = 77740320.

The previous prime is 90763711. The next prime is 90763763. The reversal of 90763729 is 92736709.

The square root of 90763729 is 9527.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15421329 + 75342400 = 3927^2 + 8680^2 .

It is not a de Polignac number, because 90763729 - 2¹¹ = 90761681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90763789) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66009 + ... + 67369.

Almost surely, 2^90763729 is an apocalyptic number.

90763729 is the 9527-th square number.

90763729 is the 4764-th centered octagonal number.

It is an amenable number.

90763729 is a deficient number, since it is larger than the sum of its proper divisors (14896202).

90763729 is an frugal number, since it uses more digits than its factorization.

90763729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 43.

The cubic root of 90763729 is about 449.4045276020.

Multiplying 90763729 by its product of nonzero digits (142884), we get a square (12968684654436 = 3601206²).

The spelling of 90763729 in words is "ninety million, seven hundred sixty-three thousand, seven hundred twenty-nine".