214007641 has 3 divisors (see below), whose sum is σ = 214022271. Its totient is φ = 213993012.

The previous prime is 214007623. The next prime is 214007683. The reversal of 214007641 is 146700412.

The square root of 214007641 is 14629.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 38180041 + 175827600 = 6179^2 + 13260^2 .

It is not a de Polignac number, because 214007641 - 2¹³ = 213999449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214004641) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7315 + ... + 21943.

It is an arithmetic number, because the mean of its divisors is an integer number (71340757).

Almost surely, 2^214007641 is an apocalyptic number.

214007641 is the 14629-th square number.

214007641 is the 7315-th centered octagonal number.

It is an amenable number.

214007641 is a deficient number, since it is larger than the sum of its proper divisors (14630).

214007641 is an frugal number, since it uses more digits than its factorization.

214007641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29258 (or 14629 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The cubic root of 214007641 is about 598.1495219000.

Multiplying 214007641 by its sum of digits (25), we get a square (5350191025 = 73145²).

The spelling of 214007641 in words is "two hundred fourteen million, seven thousand, six hundred forty-one".