214164525 has 48 divisors (see below), whose sum is σ = 365476608. Its totient is φ = 110592000.

The previous prime is 214164499. The next prime is 214164539. The reversal of 214164525 is 525461412.

214164525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214164525 - 2²² = 209970221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214164492 and 214164501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 790140 + ... + 790410.

It is an arithmetic number, because the mean of its divisors is an integer number (7614096).

Almost surely, 2^214164525 is an apocalyptic number.

214164525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214164525 is a deficient number, since it is larger than the sum of its proper divisors (151312083).

214164525 is a wasteful number, since it uses less digits than its factorization.

214164525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 577 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 214164525 is about 14634.3611066558. The cubic root of 214164525 is about 598.2956493433.

It can be divided in two parts, 2141 and 64525, that added together give a palindrome (66666).

The spelling of 214164525 in words is "two hundred fourteen million, one hundred sixty-four thousand, five hundred twenty-five".