164417331 has 8 divisors (see below), whose sum is σ = 236086480. Its totient is φ = 101179872.

The previous prime is 164417321. The next prime is 164417347. The reversal of 164417331 is 133714461.

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

It is not a de Polignac number, because 164417331 - 2¹⁴ = 164400947 is a prime.

It is a super-3 number, since 3×164417331³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164417311) 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, 2107876 + ... + 2107953.

It is an arithmetic number, because the mean of its divisors is an integer number (29510810).

Almost surely, 2^164417331 is an apocalyptic number.

164417331 is a deficient number, since it is larger than the sum of its proper divisors (71669149).

164417331 is a wasteful number, since it uses less digits than its factorization.

164417331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215845.

The product of its digits is 6048, while the sum is 30.

The square root of 164417331 is about 12822.5321602248. The cubic root of 164417331 is about 547.8342722163.

The spelling of 164417331 in words is "one hundred sixty-four million, four hundred seventeen thousand, three hundred thirty-one".