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54257 = 723337
BaseRepresentation
bin1101001111110001
32202102112
431033301
53214012
61055105
7314120
oct151761
982375
1054257
1137845
1227495
131b908
1415ab7
1511122
hexd3f1

54257 has 8 divisors (see below), whose sum is σ = 64896. Its totient is φ = 44352.

The previous prime is 54251. The next prime is 54269. The reversal of 54257 is 75245.

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

It is not a de Polignac number, because 54257 - 26 = 54193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54257.

It is not an unprimeable number, because it can be changed into a prime (54251) 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, 8 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (8112).

254257 is an apocalyptic number.

It is an amenable number.

54257 is a deficient number, since it is larger than the sum of its proper divisors (10639).

54257 is a wasteful number, since it uses less digits than its factorization.

54257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367.

The product of its digits is 1400, while the sum is 23.

The square root of 54257 is about 232.9313203500. The cubic root of 54257 is about 37.8574995305.

The spelling of 54257 in words is "fifty-four thousand, two hundred fifty-seven".

Divisors: 1 7 23 161 337 2359 7751 54257