214246641 has 48 divisors (see below), whose sum is σ = 351129600. Its totient is φ = 113779296.

The previous prime is 214246639. The next prime is 214246649. The reversal of 214246641 is 146642412.

It is a happy number.

It is not a de Polignac number, because 214246641 - 2¹ = 214246639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214246599 and 214246608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214246649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447040 + ... + 447518.

It is an arithmetic number, because the mean of its divisors is an integer number (7315200).

Almost surely, 2^214246641 is an apocalyptic number.

214246641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214246641 is a deficient number, since it is larger than the sum of its proper divisors (136882959).

214246641 is a wasteful number, since it uses less digits than its factorization.

214246641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 567 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 214246641 is about 14637.1664266005. The cubic root of 214246641 is about 598.3721067113.

The spelling of 214246641 in words is "two hundred fourteen million, two hundred forty-six thousand, six hundred forty-one".