164051433 has 64 divisors (see below), whose sum is σ = 312238080. Its totient is φ = 82741824.

The previous prime is 164051417. The next prime is 164051441. The reversal of 164051433 is 334150461.

164051433 is a `hidden beast` number, since 1 + 640 + 5 + 14 + 3 + 3 = 666.

It is not a de Polignac number, because 164051433 - 2⁴ = 164051417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 164051397 and 164051406.

It is not an unprimeable number, because it can be changed into a prime (164051033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55060 + ... + 57962.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2^164051433 is an apocalyptic number.

164051433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164051433 is a deficient number, since it is larger than the sum of its proper divisors (148186647).

164051433 is a wasteful number, since it uses less digits than its factorization.

164051433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164051433 is about 12808.2564387195. The cubic root of 164051433 is about 547.4275828407.

The spelling of 164051433 in words is "one hundred sixty-four million, fifty-one thousand, four hundred thirty-three".