164958414 has 32 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 54206880.

The previous prime is 164958413. The next prime is 164958421. The reversal of 164958414 is 414859461.

It is a super-2 number, since 2×164958414² = 54422556698790792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164958413) 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 15 ways as a sum of consecutive naturals, for example, 180619 + ... + 181529.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2^164958414 is an apocalyptic number.

164958414 is an abundant number, since it is smaller than the sum of its proper divisors (169665330).

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

164958414 is a wasteful number, since it uses less digits than its factorization.

164958414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312.

The product of its digits is 138240, while the sum is 42.

The square root of 164958414 is about 12843.6137438028. The cubic root of 164958414 is about 548.4345723482.

The spelling of 164958414 in words is "one hundred sixty-four million, nine hundred fifty-eight thousand, four hundred fourteen".