214049 has 12 divisors (see below), whose sum is σ = 247380. Its totient is φ = 184800.

The previous prime is 214043. The next prime is 214051. The reversal of 214049 is 940412.

214049 = T₂₂ + T₂₃ + ... + T₁₀₈.

It can be written as a sum of positive squares in 2 ways, for example, as 48400 + 165649 = 220^2 + 407^2 .

It is not a de Polignac number, because 214049 - 2⁴ = 214033 is a prime.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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 214049.

It is not an unprimeable number, because it can be changed into a prime (214043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3479 + ... + 3539.

It is an arithmetic number, because the mean of its divisors is an integer number (20615).

2²¹⁴⁰⁴⁹ is an apocalyptic number.

214049 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

214049 is a deficient number, since it is larger than the sum of its proper divisors (33331).

214049 is a wasteful number, since it uses less digits than its factorization.

214049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 214049 is about 462.6542985859. The cubic root of 214049 is about 59.8188052101.

The spelling of 214049 in words is "two hundred fourteen thousand, forty-nine".