53935938 has 48 divisors (see below), whose sum is σ = 135570240. Its totient is φ = 15177888.

The previous prime is 53935933. The next prime is 53935957. The reversal of 53935938 is 83953935.

53935938 is a `hidden beast` number, since 53 + 9 + 3 + 593 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53935893 and 53935902.

It is not an unprimeable number, because it can be changed into a prime (53935933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5248 + ... + 11636.

It is an arithmetic number, because the mean of its divisors is an integer number (2824380).

Almost surely, 2^53935938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53935938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67785120).

53935938 is an abundant number, since it is smaller than the sum of its proper divisors (81634302).

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

53935938 is a wasteful number, since it uses less digits than its factorization.

53935938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6471 (or 6468 counting only the distinct ones).

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

The square root of 53935938 is about 7344.1090678176. The cubic root of 53935938 is about 377.8267871890.

The spelling of 53935938 in words is "fifty-three million, nine hundred thirty-five thousand, nine hundred thirty-eight".