164256435 has 48 divisors (see below), whose sum is σ = 336623040. Its totient is φ = 72495360.

The previous prime is 164256427. The next prime is 164256473. The reversal of 164256435 is 534652461.

164256435 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 5 + 643 + 5 = 666.

It is not a de Polignac number, because 164256435 - 2³ = 164256427 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164256435.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145 + ... + 18125.

It is an arithmetic number, because the mean of its divisors is an integer number (7012980).

Almost surely, 2^164256435 is an apocalyptic number.

164256435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164256435 is an abundant number, since it is smaller than the sum of its proper divisors (172366605).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164256435 is a wasteful number, since it uses less digits than its factorization.

164256435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18028 (or 18025 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 164256435 is about 12816.2566687781. The cubic root of 164256435 is about 547.6555134639.

The spelling of 164256435 in words is "one hundred sixty-four million, two hundred fifty-six thousand, four hundred thirty-five".