36257 has 4 divisors (see below), whose sum is σ = 39060. Its totient is φ = 33456.

The previous prime is 36251. The next prime is 36263. The reversal of 36257 is 75263.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 75263 = 73 ⋅1031.

It is an interprime number because it is at equal distance from previous prime (36251) and next prime (36263).

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 22801 = 116^2 + 151^2 .

It is a cyclic number.

It is not a de Polignac number, because 36257 - 2⁴ = 36241 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36257.

It is not an unprimeable number, because it can be changed into a prime (36251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1382 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2³⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

36257 is a deficient number, since it is larger than the sum of its proper divisors (2803).

36257 is a wasteful number, since it uses less digits than its factorization.

36257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802.

The product of its digits is 1260, while the sum is 23.

The square root of 36257 is about 190.4127096598. The cubic root of 36257 is about 33.0976598900.

The spelling of 36257 in words is "thirty-six thousand, two hundred fifty-seven".