53978164 has 36 divisors (see below), whose sum is σ = 103212900. Its totient is φ = 24667776.

The previous prime is 53978149. The next prime is 53978167. The reversal of 53978164 is 46187935.

53978164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36505764 + 17472400 = 6042^2 + 4180^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53978164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53978167) 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 11 ways as a sum of consecutive naturals, for example, 41232 + ... + 42520.

It is an arithmetic number, because the mean of its divisors is an integer number (2867025).

Almost surely, 2^53978164 is an apocalyptic number.

It is an amenable number.

53978164 is a deficient number, since it is larger than the sum of its proper divisors (49234736).

53978164 is a wasteful number, since it uses less digits than its factorization.

53978164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1339 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 53978164 is about 7346.9833265089. The cubic root of 53978164 is about 377.9253606255.

The spelling of 53978164 in words is "fifty-three million, nine hundred seventy-eight thousand, one hundred sixty-four".