51145 has 8 divisors (see below), whose sum is σ = 62856. Its totient is φ = 39936.

The previous prime is 51137. The next prime is 51151. The reversal of 51145 is 54115.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4489 + 46656 = 67^2 + 216^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51145 - 2³ = 51137 is a prime.

It is a super-2 number, since 2×51145² = 5231622050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169 + ... + 361.

It is an arithmetic number, because the mean of its divisors is an integer number (7857).

2⁵¹¹⁴⁵ is an apocalyptic number.

It is an amenable number.

51145 is a deficient number, since it is larger than the sum of its proper divisors (11711).

51145 is a wasteful number, since it uses less digits than its factorization.

51145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 100, while the sum is 16.

The square root of 51145 is about 226.1526033456. The cubic root of 51145 is about 37.1194096870.

It can be divided in two parts, 51 and 145, that added together give a square (196 = 14²).

The spelling of 51145 in words is "fifty-one thousand, one hundred forty-five".