164129361 has 24 divisors (see below), whose sum is σ = 241379040. Its totient is φ = 99126720.

The previous prime is 164129359. The next prime is 164129377. The reversal of 164129361 is 163921461.

It is not a de Polignac number, because 164129361 - 2¹ = 164129359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (164129461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136981 + ... + 138173.

It is an arithmetic number, because the mean of its divisors is an integer number (10057460).

Almost surely, 2^164129361 is an apocalyptic number.

164129361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164129361 is a deficient number, since it is larger than the sum of its proper divisors (77249679).

164129361 is a wasteful number, since it uses less digits than its factorization.

164129361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1586 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 164129361 is about 12811.2981777804. The cubic root of 164129361 is about 547.5142491235.

The spelling of 164129361 in words is "one hundred sixty-four million, one hundred twenty-nine thousand, three hundred sixty-one".