51677 has 4 divisors (see below), whose sum is σ = 53376. Its totient is φ = 49980.

The previous prime is 51673. The next prime is 51679. The reversal of 51677 is 77615.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 51677 - 2² = 51673 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

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 51677.

It is not an unprimeable number, because it can be changed into a prime (51673) 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, 803 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (13344).

2⁵¹⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

51677 is a deficient number, since it is larger than the sum of its proper divisors (1699).

51677 is a wasteful number, since it uses less digits than its factorization.

51677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698.

The product of its digits is 1470, while the sum is 26.

The square root of 51677 is about 227.3257574495. The cubic root of 51677 is about 37.2476688780.

It can be divided in two parts, 5 and 1677, that multiplied together give a triangular number (8385 = T₁₂₉).

The spelling of 51677 in words is "fifty-one thousand, six hundred seventy-seven".