13528084 has 12 divisors (see below), whose sum is σ = 23734900. Its totient is φ = 6746688.

The previous prime is 13528079. The next prime is 13528093. The reversal of 13528084 is 48082531.

13528084 = T₂₄ + T₂₅ + ... + T₄₃₂.

It can be written as a sum of positive squares in 2 ways, for example, as 12404484 + 1123600 = 3522^2 + 1060^2 .

It is a super-2 number, since 2×13528084² = 366018113422112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2499 + ... + 5770.

Almost surely, 2^13528084 is an apocalyptic number.

It is an amenable number.

13528084 is a deficient number, since it is larger than the sum of its proper divisors (10206816).

13528084 is a wasteful number, since it uses less digits than its factorization.

13528084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 13528084 is about 3678.0543769770. The cubic root of 13528084 is about 238.2751566590.

The spelling of 13528084 in words is "thirteen million, five hundred twenty-eight thousand, eighty-four".