53905293 has 24 divisors (see below), whose sum is σ = 85444632. Its totient is φ = 32542848.

The previous prime is 53905279. The next prime is 53905297. The reversal of 53905293 is 39250935.

It can be written as a sum of positive squares in 4 ways, for example, as 59049 + 53846244 = 243^2 + 7338^2 .

It is not a de Polignac number, because 53905293 - 2¹³ = 53897101 is a prime.

It is a super-2 number, since 2×53905293² = 5811561226831698, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53905297) 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, 1855 + ... + 10547.

It is an arithmetic number, because the mean of its divisors is an integer number (3560193).

Almost surely, 2^53905293 is an apocalyptic number.

53905293 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

53905293 is a deficient number, since it is larger than the sum of its proper divisors (31539339).

53905293 is a wasteful number, since it uses less digits than its factorization.

53905293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8762 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 53905293 is about 7342.0224053050. The cubic root of 53905293 is about 377.7552165080.

The spelling of 53905293 in words is "fifty-three million, nine hundred five thousand, two hundred ninety-three".