36328257 has 54 divisors (see below), whose sum is σ = 63946818. Its totient is φ = 20575296.

The previous prime is 36328217. The next prime is 36328277. The reversal of 36328257 is 75282363.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 15752961 = 4536^2 + 3969^2 .

It is not a de Polignac number, because 36328257 - 2¹² = 36324161 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (36328217) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 321433 + ... + 321545.

Almost surely, 2^36328257 is an apocalyptic number.

It is an amenable number.

36328257 is a deficient number, since it is larger than the sum of its proper divisors (27618561).

36328257 is an frugal number, since it uses more digits than its factorization.

36328257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 36328257 is about 6027.2926758205. The cubic root of 36328257 is about 331.1932831814.

It can be divided in two parts, 36328 and 257, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 36328257 in words is "thirty-six million, three hundred twenty-eight thousand, two hundred fifty-seven".