214131024 has 60 divisors (see below), whose sum is σ = 610598196. Its totient is φ = 70027776.

The previous prime is 214131023. The next prime is 214131037. The reversal of 214131024 is 420131412.

It can be written as a sum of positive squares in 2 ways, for example, as 135489600 + 78641424 = 11640^2 + 8868^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214130988 and 214131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214131023) 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 11 ways as a sum of consecutive naturals, for example, 6397 + ... + 21660.

Almost surely, 2^214131024 is an apocalyptic number.

214131024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214131024 is an abundant number, since it is smaller than the sum of its proper divisors (396467172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214131024 is a wasteful number, since it uses less digits than its factorization.

214131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28124 (or 28115 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214131024 is about 14633.2164611886. The cubic root of 214131024 is about 598.2644512916.

Adding to 214131024 its reverse (420131412), we get a palindrome (634262436).

The spelling of 214131024 in words is "two hundred fourteen million, one hundred thirty-one thousand, twenty-four".