164901825 has 90 divisors (see below), whose sum is σ = 336247142. Its totient is φ = 79833600.

The previous prime is 164901823. The next prime is 164901833. The reversal of 164901825 is 528109461.

164901825 is a `hidden beast` number, since 1 + 649 + 0 + 1 + 8 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4322241 + 160579584 = 2079^2 + 12672^2 .

It is not a de Polignac number, because 164901825 - 2¹ = 164901823 is a prime.

It is a super-3 number, since 3×164901825³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 164901825.

It is not an unprimeable number, because it can be changed into a prime (164901823) 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 89 ways as a sum of consecutive naturals, for example, 244689 + ... + 245361.

Almost surely, 2^164901825 is an apocalyptic number.

164901825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164901825 is an abundant number, since it is smaller than the sum of its proper divisors (171345317).

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

164901825 is a wasteful number, since it uses less digits than its factorization.

164901825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 164901825 is about 12841.4105533621. The cubic root of 164901825 is about 548.3718516644.

The spelling of 164901825 in words is "one hundred sixty-four million, nine hundred one thousand, eight hundred twenty-five".