53968257 has 36 divisors (see below), whose sum is σ = 92432340. Its totient is φ = 30244032.

The previous prime is 53968253. The next prime is 53968261. The reversal of 53968257 is 75286935.

It is a happy number.

53968257 is a `hidden beast` number, since 5 + 396 + 8 + 257 = 666.

It is an interprime number because it is at equal distance from previous prime (53968253) and next prime (53968261).

It can be written as a sum of positive squares in 2 ways, for example, as 42107121 + 11861136 = 6489^2 + 3444^2 .

It is not a de Polignac number, because 53968257 - 2² = 53968253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53968253) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22219 + ... + 24527.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2^53968257 is an apocalyptic number.

It is an amenable number.

53968257 is a deficient number, since it is larger than the sum of its proper divisors (38464083).

53968257 is a wasteful number, since it uses less digits than its factorization.

53968257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2372 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 53968257 is about 7346.3090732694. The cubic root of 53968257 is about 377.9022380926.

The spelling of 53968257 in words is "fifty-three million, nine hundred sixty-eight thousand, two hundred fifty-seven".