164400345 has 24 divisors (see below), whose sum is σ = 285607296. Its totient is φ = 87481248.

The previous prime is 164400323. The next prime is 164400359. The reversal of 164400345 is 543004461.

164400345 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 164400345 - 2⁶ = 164400281 is a prime.

It is a super-2 number, since 2×164400345² = 54054946872238050, which contains 22 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, 17104 + ... + 24926.

It is an arithmetic number, because the mean of its divisors is an integer number (11900304).

Almost surely, 2^164400345 is an apocalyptic number.

164400345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164400345 is a deficient number, since it is larger than the sum of its proper divisors (121206951).

164400345 is a wasteful number, since it uses less digits than its factorization.

164400345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8301 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 164400345 is about 12821.8697934428. The cubic root of 164400345 is about 547.8154059298.

The spelling of 164400345 in words is "one hundred sixty-four million, four hundred thousand, three hundred forty-five".