53407 has 2 divisors, whose sum is σ = 53408. Its totient is φ = 53406.

The previous prime is 53401. The next prime is 53411. The reversal of 53407 is 70435.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 53407 - 2⁷ = 53279 is a prime.

53407 is a lucky number.

It is equal to p₅₄₄₆ and since 53407 and 5446 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26703 + 26704.

It is an arithmetic number, because the mean of its divisors is an integer number (26704).

2⁵³⁴⁰⁷ is an apocalyptic number.

53407 is a deficient number, since it is larger than the sum of its proper divisors (1).

53407 is an equidigital number, since it uses as much as digits as its factorization.

53407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 53407 is about 231.0995456508. The cubic root of 53407 is about 37.6587639289.

The spelling of 53407 in words is "fifty-three thousand, four hundred seven".