53345964 has 96 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 14434560.

The previous prime is 53345959. The next prime is 53345989. The reversal of 53345964 is 46954335.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148417 + ... + 148775.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^53345964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53345964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

53345964 is an abundant number, since it is smaller than the sum of its proper divisors (96644436).

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

53345964 is a wasteful number, since it uses less digits than its factorization.

53345964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

The square root of 53345964 is about 7303.8321448401. The cubic root of 53345964 is about 376.4441239880. Note that the first 3 decimals are identical.

The spelling of 53345964 in words is "fifty-three million, three hundred forty-five thousand, nine hundred sixty-four".