53814401 has 12 divisors (see below), whose sum is σ = 59146620. Its totient is φ = 48894720.

The previous prime is 53814361. The next prime is 53814421. The reversal of 53814401 is 10441835.

It can be written as a sum of positive squares in 6 ways, for example, as 1960000 + 51854401 = 1400^2 + 7201^2 .

It is not a de Polignac number, because 53814401 - 2²² = 49620097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53814421) 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, 5171 + ... + 11591.

It is an arithmetic number, because the mean of its divisors is an integer number (4928885).

Almost surely, 2^53814401 is an apocalyptic number.

It is an amenable number.

53814401 is a deficient number, since it is larger than the sum of its proper divisors (5332219).

53814401 is a wasteful number, since it uses less digits than its factorization.

53814401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 53814401 is about 7335.8299462297. The cubic root of 53814401 is about 377.5427807020.

The spelling of 53814401 in words is "fifty-three million, eight hundred fourteen thousand, four hundred one".