51407 has 2 divisors, whose sum is σ = 51408. Its totient is φ = 51406.

The previous prime is 51383. The next prime is 51413. The reversal of 51407 is 70415.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51407 - 2⁶ = 51343 is a prime.

It is a Chen prime.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51407.

It is not a weakly prime, because it can be changed into another prime (51427) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25703 + 25704.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2⁵¹⁴⁰⁷ is an apocalyptic number.

51407 is a deficient number, since it is larger than the sum of its proper divisors (1).

51407 is an equidigital number, since it uses as much as digits as its factorization.

51407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 51407 is about 226.7311182877. The cubic root of 51407 is about 37.1826855100.

The spelling of 51407 in words is "fifty-one thousand, four hundred seven".