164121629 has 24 divisors (see below), whose sum is σ = 201227328. Its totient is φ = 133203840.

The previous prime is 164121613. The next prime is 164121641. The reversal of 164121629 is 926121461.

It is not a de Polignac number, because 164121629 - 2⁴ = 164121613 is a prime.

It is a super-2 number, since 2×164121629² = 53871818211227282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164121595 and 164121604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164121649) 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, 119909 + ... + 121269.

It is an arithmetic number, because the mean of its divisors is an integer number (8384472).

Almost surely, 2^164121629 is an apocalyptic number.

It is an amenable number.

164121629 is a deficient number, since it is larger than the sum of its proper divisors (37105699).

164121629 is a wasteful number, since it uses less digits than its factorization.

164121629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1498 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 164121629 is about 12810.9964093352. The cubic root of 164121629 is about 547.5056513390.

The spelling of 164121629 in words is "one hundred sixty-four million, one hundred twenty-one thousand, six hundred twenty-nine".