164400225 has 48 divisors (see below), whose sum is σ = 299605824. Its totient is φ = 78880000.

The previous prime is 164400211. The next prime is 164400227. The reversal of 164400225 is 522004461.

It is not a de Polignac number, because 164400225 - 2⁹ = 164399713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164400195 and 164400204.

It is not an unprimeable number, because it can be changed into a prime (164400227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82339 + ... + 84311.

It is an arithmetic number, because the mean of its divisors is an integer number (6241788).

Almost surely, 2^164400225 is an apocalyptic number.

164400225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164400225 is a deficient number, since it is larger than the sum of its proper divisors (135205599).

164400225 is a wasteful number, since it uses less digits than its factorization.

164400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 164400225 is about 12821.8651139372. The cubic root of 164400225 is about 547.8152726416.

Adding to 164400225 its reverse (522004461), we get a palindrome (686404686).

The spelling of 164400225 in words is "one hundred sixty-four million, four hundred thousand, two hundred twenty-five".