51629 has 4 divisors (see below), whose sum is σ = 54684. Its totient is φ = 48576.

The previous prime is 51613. The next prime is 51631. The reversal of 51629 is 92615.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92615 = 5 ⋅18523.

It can be written as a sum of positive squares in 2 ways, for example, as 42025 + 9604 = 205^2 + 98^2 .

It is a cyclic number.

It is not a de Polignac number, because 51629 - 2⁴ = 51613 is a prime.

It is a Duffinian number.

51629 is a modest number, since divided by 629 gives 51 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51659) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1502 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2⁵¹⁶²⁹ is an apocalyptic number.

It is an amenable number.

51629 is a deficient number, since it is larger than the sum of its proper divisors (3055).

51629 is a wasteful number, since it uses less digits than its factorization.

51629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054.

The product of its digits is 540, while the sum is 23.

The square root of 51629 is about 227.2201575565. The cubic root of 51629 is about 37.2361328501.

It can be divided in two parts, 516 and 29, that added together give a palindrome (545).

The spelling of 51629 in words is "fifty-one thousand, six hundred twenty-nine".