57351 has 8 divisors (see below), whose sum is σ = 87424. Its totient is φ = 32760.

The previous prime is 57349. The next prime is 57367. The reversal of 57351 is 15375.

57351 = 6⁵ + 7⁵ + 8⁵.

It is a happy number.

57351 is nontrivially palindromic in base 2.

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

It is not a de Polignac number, because 57351 - 2¹ = 57349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 2731 = 57351 / (5 + 7 + 3 + 5 + 1).

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1345 + ... + 1386.

It is an arithmetic number, because the mean of its divisors is an integer number (10928).

2⁵⁷³⁵¹ is an apocalyptic number.

57351 is a deficient number, since it is larger than the sum of its proper divisors (30073).

57351 is a wasteful number, since it uses less digits than its factorization.

57351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741.

The product of its digits is 525, while the sum is 21.

The square root of 57351 is about 239.4806881567. The cubic root of 57351 is about 38.5638452660.

The spelling of 57351 in words is "fifty-seven thousand, three hundred fifty-one".