53956962 has 64 divisors (see below), whose sum is σ = 123552000. Its totient is φ = 17449344.

The previous prime is 53956961. The next prime is 53956967. The reversal of 53956962 is 26965935.

53956962 is a `hidden beast` number, since 539 + 56 + 9 + 62 = 666.

53956962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53956962² = 5822707496538888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53956961) 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 31 ways as a sum of consecutive naturals, for example, 494964 + ... + 495072.

It is an arithmetic number, because the mean of its divisors is an integer number (1930500).

Almost surely, 2^53956962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53956962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61776000).

53956962 is an abundant number, since it is smaller than the sum of its proper divisors (69595038).

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

53956962 is a wasteful number, since it uses less digits than its factorization.

53956962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 53956962 is about 7345.5402796527. The cubic root of 53956962 is about 377.8758725719.

The spelling of 53956962 in words is "fifty-three million, nine hundred fifty-six thousand, nine hundred sixty-two".