164401335 has 48 divisors (see below), whose sum is σ = 326604096. Its totient is φ = 74939904.

The previous prime is 164401331. The next prime is 164401343. The reversal of 164401335 is 533104461.

164401335 is a `hidden beast` number, since 1 + 644 + 0 + 13 + 3 + 5 = 666.

164401335 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 164401335 - 2² = 164401331 is a prime.

It is a super-3 number, since 3×164401335³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164401299 and 164401308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164401331) 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, 174987 + ... + 175923.

It is an arithmetic number, because the mean of its divisors is an integer number (6804252).

Almost surely, 2^164401335 is an apocalyptic number.

164401335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164401335 is a deficient number, since it is larger than the sum of its proper divisors (162202761).

164401335 is a wasteful number, since it uses less digits than its factorization.

164401335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164401335 is about 12821.9083992984. The cubic root of 164401335 is about 547.8165055548.

Adding to 164401335 its reverse (533104461), we get a palindrome (697505796).

The spelling of 164401335 in words is "one hundred sixty-four million, four hundred one thousand, three hundred thirty-five".