90687529 has 9 divisors (see below), whose sum is σ = 92583127. Its totient is φ = 88830544.

The previous prime is 90687517. The next prime is 90687539. The reversal of 90687529 is 92578609.

The square root of 90687529 is 9523.

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., 17413929 + 73273600 = 4173^2 + 8560^2 .

It is not a de Polignac number, because 90687529 - 2¹⁷ = 90556457 is a prime.

It is a super-2 number, since 2×90687529² = 16448455832251682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90687539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 847494 + ... + 847600.

Almost surely, 2^90687529 is an apocalyptic number.

90687529 is the 9523-rd square number.

90687529 is the 4762-nd centered octagonal number.

It is an amenable number.

90687529 is a deficient number, since it is larger than the sum of its proper divisors (1895598).

90687529 is an frugal number, since it uses more digits than its factorization.

90687529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The cubic root of 90687529 is about 449.2787276702.

The spelling of 90687529 in words is "ninety million, six hundred eighty-seven thousand, five hundred twenty-nine".