164432385 has 24 divisors (see below), whose sum is σ = 306941544. Its totient is φ = 80951040.

The previous prime is 164432371. The next prime is 164432399. The reversal of 164432385 is 583234461.

164432385 is a `hidden beast` number, since 1 + 644 + 3 + 2 + 3 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (164432371) and next prime (164432399).

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 161569521 = 1692^2 + 12711^2 .

It is not a de Polignac number, because 164432385 - 2⁵ = 164432353 is a prime.

It is a super-3 number, since 3×164432385³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139956 + ... + 141125.

It is an arithmetic number, because the mean of its divisors is an integer number (12789231).

Almost surely, 2^164432385 is an apocalyptic number.

164432385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164432385 is a deficient number, since it is larger than the sum of its proper divisors (142509159).

164432385 is a wasteful number, since it uses less digits than its factorization.

164432385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281105 (or 281102 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 164432385 is about 12823.1191603291. The cubic root of 164432385 is about 547.8509915516.

The spelling of 164432385 in words is "one hundred sixty-four million, four hundred thirty-two thousand, three hundred eighty-five".