20932585 has 12 divisors (see below), whose sum is σ = 26513028. Its totient is φ = 15863328.

The previous prime is 20932567. The next prime is 20932607. The reversal of 20932585 is 58523902.

It can be written as a sum of positive squares in 2 ways, for example, as 13446889 + 7485696 = 3667^2 + 2736^2 .

It is a de Polignac number, because none of the positive numbers 2^k-20932585 is a prime.

It is a super-2 number, since 2×20932585² = 876346229564450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20932585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3994 + ... + 7603.

It is an arithmetic number, because the mean of its divisors is an integer number (2209419).

Almost surely, 2^20932585 is an apocalyptic number.

It is an amenable number.

20932585 is a deficient number, since it is larger than the sum of its proper divisors (5580443).

20932585 is a wasteful number, since it uses less digits than its factorization.

20932585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11640 (or 11621 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 20932585 is about 4575.2142026358. The cubic root of 20932585 is about 275.5968743743.

It can be divided in two parts, 2093 and 2585, that multiplied together give a triangular number (5410405 = T₃₂₈₉).

The spelling of 20932585 in words is "twenty million, nine hundred thirty-two thousand, five hundred eighty-five".