164164431 has 8 divisors (see below), whose sum is σ = 219586480. Its totient is φ = 109092672.

The previous prime is 164164423. The next prime is 164164433. The reversal of 164164431 is 134461461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164164431 - 2³ = 164164423 is a prime.

It is a super-2 number, since 2×164164431² = 53899920811107522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164164433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86476 + ... + 88353.

It is an arithmetic number, because the mean of its divisors is an integer number (27448310).

Almost surely, 2^164164431 is an apocalyptic number.

164164431 is a deficient number, since it is larger than the sum of its proper divisors (55422049).

164164431 is a wasteful number, since it uses less digits than its factorization.

164164431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175145.

The product of its digits is 6912, while the sum is 30.

The square root of 164164431 is about 12812.6668184262. Note that the first 3 decimals coincide. The cubic root of 164164431 is about 547.5532426694.

The spelling of 164164431 in words is "one hundred sixty-four million, one hundred sixty-four thousand, four hundred thirty-one".