164415705 has 16 divisors (see below), whose sum is σ = 263545920. Its totient is φ = 87528128.

The previous prime is 164415701. The next prime is 164415737. The reversal of 164415705 is 507514461.

164415705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164415705 - 2² = 164415701 is a prime.

It is a super-3 number, since 3×164415705³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164415701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290 + ... + 18179.

It is an arithmetic number, because the mean of its divisors is an integer number (16471620).

Almost surely, 2^164415705 is an apocalyptic number.

164415705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164415705 is a deficient number, since it is larger than the sum of its proper divisors (99130215).

164415705 is a wasteful number, since it uses less digits than its factorization.

164415705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20040.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 164415705 is about 12822.4687560547. The cubic root of 164415705 is about 547.8324662805.

The spelling of 164415705 in words is "one hundred sixty-four million, four hundred fifteen thousand, seven hundred five".