27800149 has 16 divisors (see below), whose sum is σ = 31256064. Its totient is φ = 24552000.

The previous prime is 27800137. The next prime is 27800153. The reversal of 27800149 is 94100872.

It is not a de Polignac number, because 27800149 - 2¹⁵ = 27767381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 27800149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27800159) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40362 + ... + 41044.

It is an arithmetic number, because the mean of its divisors is an integer number (1953504).

Almost surely, 2^27800149 is an apocalyptic number.

It is an amenable number.

27800149 is a deficient number, since it is larger than the sum of its proper divisors (3455915).

27800149 is a wasteful number, since it uses less digits than its factorization.

27800149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 27800149 is about 5272.5846602971. The cubic root of 27800149 is about 302.9347127396.

The spelling of 27800149 in words is "twenty-seven million, eight hundred thousand, one hundred forty-nine".