164190013 has 8 divisors (see below), whose sum is σ = 176925056. Its totient is φ = 151470000.

The previous prime is 164190007. The next prime is 164190041. The reversal of 164190013 is 310091461.

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

It is a cyclic number.

It is not a de Polignac number, because 164190013 - 2¹³ = 164181821 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164190013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164190113) 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, 30688 + ... + 35638.

It is an arithmetic number, because the mean of its divisors is an integer number (22115632).

Almost surely, 2^164190013 is an apocalyptic number.

164190013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164190013 is a deficient number, since it is larger than the sum of its proper divisors (12735043).

164190013 is a wasteful number, since it uses less digits than its factorization.

164190013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7515.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 164190013 is about 12813.6650884905. The cubic root of 164190013 is about 547.5816832181.

The spelling of 164190013 in words is "one hundred sixty-four million, one hundred ninety thousand, thirteen".