214891407 has 16 divisors (see below), whose sum is σ = 337085280. Its totient is φ = 134833536.

The previous prime is 214891367. The next prime is 214891409. The reversal of 214891407 is 704198412.

It is not a de Polignac number, because 214891407 - 2¹⁰ = 214890383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214891409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233628 + ... + 234545.

It is an arithmetic number, because the mean of its divisors is an integer number (21067830).

Almost surely, 2^214891407 is an apocalyptic number.

214891407 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

214891407 is a deficient number, since it is larger than the sum of its proper divisors (122193873).

214891407 is a wasteful number, since it uses less digits than its factorization.

214891407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468199 (or 468193 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 214891407 is about 14659.1748403517. The cubic root of 214891407 is about 598.9717638908.

The spelling of 214891407 in words is "two hundred fourteen million, eight hundred ninety-one thousand, four hundred seven".