164362653 has 48 divisors (see below), whose sum is σ = 295241856. Its totient is φ = 85795200.

The previous prime is 164362643. The next prime is 164362697. The reversal of 164362653 is 356263461.

164362653 is a `hidden beast` number, since 1 + 643 + 6 + 2 + 6 + 5 + 3 = 666.

It is not a de Polignac number, because 164362653 - 2⁴ = 164362637 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164362643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81726 + ... + 83712.

It is an arithmetic number, because the mean of its divisors is an integer number (6150872).

Almost surely, 2^164362653 is an apocalyptic number.

164362653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164362653 is a deficient number, since it is larger than the sum of its proper divisors (130879203).

164362653 is a wasteful number, since it uses less digits than its factorization.

164362653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2111 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 164362653 is about 12820.3998767589. The cubic root of 164362653 is about 547.7735369250.

The spelling of 164362653 in words is "one hundred sixty-four million, three hundred sixty-two thousand, six hundred fifty-three".