53846253 has 12 divisors (see below), whose sum is σ = 77860380. Its totient is φ = 35859456.

The previous prime is 53846239. The next prime is 53846263. The reversal of 53846253 is 35264835.

It is a happy number.

53846253 is a nontrivial binomial coefficient, being equal to C(10378, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 42536484 + 11309769 = 6522^2 + 3363^2 .

It is not a de Polignac number, because 53846253 - 2⁹ = 53845741 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53846203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7783 + ... + 12971.

It is an arithmetic number, because the mean of its divisors is an integer number (6488365).

Almost surely, 2^53846253 is an apocalyptic number.

53846253 is the 10377-th triangular number and also the 5189-th hexagonal number.

It is an amenable number.

53846253 is a deficient number, since it is larger than the sum of its proper divisors (24014127).

53846253 is a wasteful number, since it uses less digits than its factorization.

53846253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6348 (or 6345 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 53846253 is about 7338.0006132461. Note that the first 3 decimals coincide. The cubic root of 53846253 is about 377.6172534616.

The spelling of 53846253 in words is "fifty-three million, eight hundred forty-six thousand, two hundred fifty-three".