164419983 has 32 divisors (see below), whose sum is σ = 299801600. Its totient is φ = 86725728.

The previous prime is 164419979. The next prime is 164419991. The reversal of 164419983 is 389914461.

It is not a de Polignac number, because 164419983 - 2² = 164419979 is a prime.

It is a super-3 number, since 3×164419983³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164419933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31003 + ... + 35916.

It is an arithmetic number, because the mean of its divisors is an integer number (9368800).

Almost surely, 2^164419983 is an apocalyptic number.

164419983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

164419983 is a deficient number, since it is larger than the sum of its proper divisors (135381617).

164419983 is a wasteful number, since it uses less digits than its factorization.

164419983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66948 (or 66942 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 164419983 is about 12822.6355715196. The cubic root of 164419983 is about 547.8372176655.

The spelling of 164419983 in words is "one hundred sixty-four million, four hundred nineteen thousand, nine hundred eighty-three".