11082825 has 60 divisors (see below), whose sum is σ = 22160908. Its totient is φ = 5443200.

The previous prime is 11082823. The next prime is 11082829. The reversal of 11082825 is 52828011.

It can be written as a sum of positive squares in 6 ways, for example, as 4549689 + 6533136 = 2133^2 + 2556^2 .

It is not a de Polignac number, because 11082825 - 2¹ = 11082823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11082823) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26115 + ... + 26535.

Almost surely, 2^11082825 is an apocalyptic number.

11082825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11082825 is a deficient number, since it is larger than the sum of its proper divisors (11078083).

11082825 is a wasteful number, since it uses less digits than its factorization.

11082825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11082825 is about 3329.0877128727. The cubic root of 11082825 is about 222.9547992335.

The spelling of 11082825 in words is "eleven million, eighty-two thousand, eight hundred twenty-five".