4025164 has 48 divisors (see below), whose sum is σ = 8580096. Its totient is φ = 1627200.

The previous prime is 4025111. The next prime is 4025167. The reversal of 4025164 is 4615204.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4025167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17619 + ... + 17845.

It is an arithmetic number, because the mean of its divisors is an integer number (178752).

Almost surely, 2^4025164 is an apocalyptic number.

4025164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4025164 is an abundant number, since it is smaller than the sum of its proper divisors (4554932).

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

4025164 is a wasteful number, since it uses less digits than its factorization.

4025164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4025164 is about 2006.2811368300. The cubic root of 4025164 is about 159.0722875817.

Subtracting from 4025164 its product of nonzero digits (960), we obtain a palindrome (4024204).

The spelling of 4025164 in words is "four million, twenty-five thousand, one hundred sixty-four".