53407935 has 48 divisors (see below), whose sum is σ = 108286464. Its totient is φ = 23841216.

The previous prime is 53407919. The next prime is 53407951. The reversal of 53407935 is 53970435.

It is an interprime number because it is at equal distance from previous prime (53407919) and next prime (53407951).

It is not a de Polignac number, because 53407935 - 2⁴ = 53407919 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53407935.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11574 + ... + 15516.

It is an arithmetic number, because the mean of its divisors is an integer number (2255968).

Almost surely, 2^53407935 is an apocalyptic number.

53407935 is an abundant number, since it is smaller than the sum of its proper divisors (54878529).

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

53407935 is a wasteful number, since it uses less digits than its factorization.

53407935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 53407935 is about 7308.0732754947. The cubic root of 53407935 is about 376.5898369243.

Subtracting 53407935 from its reverse (53970435), we obtain a square (562500 = 750²).

The spelling of 53407935 in words is "fifty-three million, four hundred seven thousand, nine hundred thirty-five".